If the Same Force Is Again Applied at T

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1.

Two uniform cylinders have unlike masses and unlike rotational inertias. They simultaneously kickoff from residual at the top of an inclined plane and gyre without sliding down the aeroplane. The cylinder that gets to the lesser first is: A. the one with the larger mass B. the one with the smaller mass C. the one with the larger rotational inertia D. the one with the smaller rotational inertia E. neither (they go far together)

2.

Ii identical disks, with rotational inertia I (= 1/2 MR 2 ), gyre without slipping with the same initial speed beyond a horizontal floor and and so up inclines. Disk A rolls up its incline without sliding. On the other hand, deejay B rolls up a frictionless incline. Otherwise the inclines are identical. Disk A reaches a meridian 12 cm above the floor before rolling down once more. Disk B reaches a height above the flooring of:

3.

A single force acts on a particle situated on the positive ten axis. The torque about the origin is in the negative z direction. The forcefulness might be: A. in the positive y direction B. in the negative y direction C. in the positive x direction D. in the negative x management E. in the positive z direction

four.

A compatible disk, a thin hoop, and a uniform sphere, all with the same mass and same outer radius, are each free to rotate about a fixed axis through its center. Presume the hoop is continued to the rotation axis by light spokes. With the objects starting from rest, identical forces are simultaneously practical to the rims, equally shown. Rank the objects according to their angular momenta subsequently a given time t, least to greatest.

5.

A single force acts on a particle P. Rank each of the orientations of the force shown beneath co-ordinate to the magnitude of the time rate of change of the particle'south angular momentum well-nigh the point O, to the lowest degree to greatest. B. 1 and 2 tie, then iii, 4 C. i and 2 tie, then 4, iii D. 1 and ii tie, then 3 and 4 tie

6.	An ice skater with rotational inertia I 0 is spinning with angular speed ω 0. She pulls her arms in, thereby increasing her angular speed to 4ω 0. Her rotational inertia is then:

seven.

A man, with his arms at his sides, is spinning on a light frictionless turntable. When he extends his arms: A. his athwart velocity increases B. his angular velocity remains the aforementioned C. his rotational inertia decreases D. his rotational kinetic energy increases East. his angular momentum remains the same

8.	When a man on a frictionless rotating stool extends his arms horizontally, his rotational kinetic energy: D. may increment or subtract depending on his initial angular velocity Eastward. may increment or subtract depending on his angualar acceleration

9.	When a adult female on a frictionless rotating turntable extends her arms out horizontally, her angular momentum: D. may increase or decrease depending on her initial angular velocity Due east. tilts abroad from the vertical

10.

A phonograph record is dropped onto a freely spinning turntable. And so: A. neither angular momentum nor mechanical energy is conserved because of the frictional forces between record and turntable B. the frictional force betwixt record and turntable increases the full angular momentum C. the frictional force betwixt record and turntable decreases the total angular momentum D. the total angular momentum remains constant Due east. the sum of the angular momentum and rotational kinetic free energy remains abiding

11.

Two pendulum bobs of unequal mass are suspended from the same stock-still betoken past strings of equal length. The lighter bob is drawn aside and then released so that information technology collides with the other bob on reaching the vertical position. The collision is elastic. What quantities are conserved in the collision? A. Both kinetic energy and angular momentum of the arrangement D. Angular speed of lighter bob

12.	A particle, held by a string whose other finish is attached to a fixed signal C, moves in a circle on a horizontal frictionless surface. If the cord is cutting, the angular momentum of the particle nigh the point C: D. changes direction but not magnitude

xiii.

A cake with mass K, on the end of a string, moves in a circle on a horizontal frictionless table as shown. Equally the cord is slowly pulled through a pocket-sized pigsty in the table: A. the angular momentum of M remains constant B. the athwart momentum of M decreases C. the kinetic energy of M remains constant D. the kinetic energy of One thousand decreases

14.

A meter stick on a horizontal frictionless tabular array height is pivoted at the fourscore-cm mark. A strength is applied perpendicularly to the end of the stick at 0 cm, as shown. A second force (not shown) is practical perpendicularly at the 60-cm mark. The forces are horizontal. If the stick does not motility, the forcefulness exerted past the pivot on the stick: B. must be in the same direction as and accept magnitude C. must be directed opposite to and have magnitude D. must be in the same direction every bit and have magnitude E. must be directed reverse to and have magnitude

15.

The diagram shows a stationary v-kg uniform rod (Air-conditioning), 1 chiliad long, held confronting a wall by a rope (AE) and friction between the rod and the wall. To use a single equation to find the force exerted on the rod by the rope at which point should you place the reference point for computing torque?

16.	A uniform rod AB is 1.2 k long and weighs xvi N. It is suspended by strings AC and BD as shown. A block P weighing 96 North is attached at Due east, 0.xxx m from A. The magnitude of the tension forcefulness in the string BD is:

17.	An 800-Due north human being stands halfway upwards a 5.0 k ladder of negligible weight. The base of operations of the ladder is 3.0 m from the wall every bit shown. Assuming that the wall-ladder contact is frictionless, the wall pushes against the ladder with a force of:

18.

A uniform ladder is 10 cm long and weighs 400 N. It rests with its upper finish against a frictionless vertical wall. Its lower end rests on the footing and is prevented from slipping by a peg driven into the ground. The ladder makes a xxx° bending with the horizontal. The force exerted on the wall past the ladder is:

xix.	The 600-N ball shown is suspended on a string AB and rests confronting the frictionless vertical wall. The string makes an angle of 30° with the wall. The magnitude of the tension for of string is:

20.	The 600-Due north ball shown is suspended on a string AB and rests confronting the frictionless vertical wall. The string makes an angle of thirty° with the wall. The ball presses against the wall with a force of magnitude:

21.	A horizontal beam of weight W is supported by a swivel and cable every bit shown. The force exerted on the beam by the hinge has a vertical component that must be: C. nonzero but non enough data given to know whether upwards or down

22.	An oscillatory motion must exist simple harmonic if: A. the amplitude is modest B. the potential energy is equal to the kinetic energy C. the motion is along the arc of a circumvolve D. the acceleration varies sinusoidally with time E. the derivative, dU/dx, of the potential energy is negative

23.	In uncomplicated harmonic movement, the magnitude of the acceleration is: B. proportional to the deportation C. inversely proportional to the displacement D. greatest when the velocity is greatest

24.	In simple harmonic motility, the magnitude of the acceleration is greatest when: A. the displacement is aught B. the displacement is maximum Eastward. the speed is between zero and its maximum

25.	In simple harmonic motility, the displacement is maximum when the: D. kinetic energy is maximum

26.	In unproblematic harmonic motion: A. the dispatch is greatest at the maximum displacement B. the velocity is greatest at the maximum displacement C. the catamenia depends on the amplitude D. the acceleration is constant Eastward. the acceleration is greatest at zero displacement

27.	The amplitude and phase constant of an oscillator are adamant by: C. the initial displacement alone D. the initial velocity lone Eastward. both the initial deportation and velocity

28.	In simple harmonic motion, the restoring force must be proportional to the:

29.	An object of mass yard, oscillating on the end of a spring with spring abiding k has aamplitude A. Its maximum speed is: A. C.

30.	The aamplitude of oscillation of a elementary pendulum is increased from 1° to 4°. Its maximum acceleration changes by a factor of:

31.

A elementary pendulum of length L and mass M has frequency f. To increase its frequency to 2f: A. increment its length past length to 4L B. increase its length by length to 2L C. decrease its length past length to 50/ii D. decrease its length by length to 50/ 4 Due east. decrease its mass by length to < M/four

32.	A elementary pendulum has length 50 and period T. Equally it passes through its equilibrium position, the string is all of a sudden clamped at its mid-point. The flow so becomes:

33.	A elementary pendulum is suspended from the ceiling of an lift. The elevator is accelerating upwards with acceleration a. The period of this pendulum, in terms of its length L, k and a is: A. B. C. D. E.

34.

Five hoops are each pivoted at a point on the rim and allowed to swing as physical pendulums. The masses and radii are hoop 1: One thousand = 150g and R = 50 cm hoop 2: Thousand = 200g and R = 40 cm hoop three: G = 250g and R = 30 cm hoop iv: M = 300g and R = xx cm hoop 5: K = 350g and R = 10 cm Order the hoops according to the periods of their motions, smallest to largest.

35.

The rotational inertia of a uniform sparse rod about its cease is ML two/3, where M is the mass and L is the length. Such a rod is hung vertically from one cease and set into small-scale aamplitude oscillation. If L = 1.0 m this rod will accept the aforementioned period as a simple pendulum of length:

36.

A sinusoidal force with a given amplitude is applied to an oscillator. To maintain the largest amplitude oscillation the frequency of the applied strength should exist: A. half the natural frequency of the oscillator B. the same as the natural frequency of the oscillator C. twice the natural frequency of the oscillator D. unrelated to the natural frequency of the oscillator E. determined from the maximum speed desired

37.

An oscillator is subjected to a damping forcefulness that is proportional to its velocity. A sinusoidal force is applied to it. After a long fourth dimension: A. its amplitude is an increasing function of time B. its aamplitude is a decreasing function of time C. its amplitude is abiding D. its aamplitude is a decreasing function of time just if the damping constant is large E. its amplitude increases over some portions of a cycle and decreases over other portions

38.

If the angular velocity vector of a spinning torso points out of the folio then, when viewed from higher up the folio, the trunk is spinning: A. clockwise nearly an axis that is perpendicular to the folio B. counterclockwise about an axis that is perpendicular to the page C. well-nigh an centrality that is parallel to the page D. about an centrality that is irresolute orientation E. about an axis that is getting longer

39.

The angular velocity vector of a spinning torso points out of the page. If the angular acceleration vector points into the page then: A. the body is slowing downwardly B. the body is speeding up C. the body is starting to turn in the opposite direction D. the axis of rotation is changing orientation

forty.

For a cycle spinning on an axis through its center, the ratio of the tangential acceleration of a signal on the rim to the tangential dispatch of a point halfway between the center and the rim is:

41.	For a wheel spinning on an axis through its center, the ratio of the radial dispatch of a indicate on the rim to the radial dispatch of a point halfway betwixt the centre and the rim is:

42.	For a wheel spinning with constant angular acceleration on an axis through its heart, the ratio of the speed of a point on the rim to the speed of a signal halfway between the middle and the rim is:

43.	The rotational inertia of a wheel about its axle does non depend upon its:

44.	2 wheels are identical just wheel B is spinning with twice the angular speed of bike A. The ratio of the magnitude of the radial acceleration of a point on the rim of B to the magnitude of the radial acceleration of a signal on the rim of A is:

45.

The magnitude of the acceleration of a point on a spinning wheel is increased by a factor of iv if: A. the magnitues of the angular velocity and the angular acceleration are each multiplied by a factor of iv B. the magnitues of the angular velocity is multuplied by a factor of 4 and the angular acceleration is not changed C. the magnitues of the angular velocity and the angular dispatch are each multiplied past a gene of 2 D. the magnitues of the angular velocity is multiplied by a cistron of ii and the angular acceleration is not inverse E. the magnitues of the angular velocity is multiplied past a factor of 2 and the magnitudeof the angular acceleration is multiplied by a factor of 4

46.	Three identical assurance, with masses of M , 2M, and 3Grand are attached to a massless rod of length L as shown. The rotational inertia nearly the left end of the rod is:

47.	Three identical balls are tied by light strings to the aforementioned rod and rotate effectually it, every bit shown below. Rank the balls according to their rotational inertia, least to greatest.

48.

A strength with a given magnitude is to exist applied to a bike. The torque can be maximized past: A. applying the force most the beam, radially outward from the axle B. applying the force near the rim, radially outward from the beam C. applying the force near the beam, parallel to a tangent to the wheel D. applying the forcefulness at the rim, tangent to the rim E. applying the force at the rim, at 45° to the tangent

49.	The coefficient of static friction betwixt a certain cylinder and a horizontal floor is 0.xl. If the rotational inertia of the cylinder about its symmetry axis is given by I = (1/two)MR 2, so the maximum dispatch the cylinder can have without sliding is:

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Source: https://courses.physics.ucsd.edu/2012/Winter/physics2a/practice/final/final-extra-practice.html