Exam 10: Rotational Motion

If M = 0.50 kg,L = 1.2 m,and the mass of each connecting rod shown is negligible,what is the moment of inertia about an axis perpendicular to the paper through the center of mass? Treat the mass as particles.

Exhibit 10-2 The figure below shows a graph of angular velocity versus time for a man bicycling around a circular track. Use this exhibit to answer the following question(s). -Refer to Exhibit 10-2.What is his average angular acceleration,in rad/s²,in the period from t = 6 min to t = 8 min?

Exhibit 10-1 The figure below shows a graph of angular velocity versus time for a woman bicycling around a circular track. Use this exhibit to answer the following question(s). -Refer to Exhibit 10-1.How many revolutions does she complete in the first 12 minutes?

A wheel starts from rest and rotates with a constant angular acceleration about a fixed axis.It completes the first revolution 6.0 s after it started.How long after it started will the wheel complete the second revolution?

The turntable of a record player has an angular velocity of 8.0 rad/s when it is turned off.The turntable comes to rest 2.5 s after being turned off.Through how many radians does the turntable rotate after being turned off? Assume constant angular acceleration.

A wheel rotates about a fixed axis with an initial angular velocity of 20 rad/s.During a 5.0-s interval the angular velocity decreases to 10 rad/s.Assume that the angular acceleration is constant during the 5.0-s interval.How many radians does the wheel turn through during the 5.0-s interval?

When a wheel is rolling without slipping,the magnitude of its velocity relative to the ground is greatest at

A solid sphere,a solid cylinder,and a hoop all have the same mass and radius.Each are sent down identical inclined planes starting from rest.Their kinetic energies at the bottom of the incline are K_sphere, K_cylinder,and K_hoop.Which of the following is true?

Two forces of magnitude 50 N,as shown in the figure below,act on a cylinder of radius 4 m and mass 6.25 kg.The cylinder,which is initially at rest,sits on a frictionless surface.After 1 second,the velocity and angular velocity of the cylinder in m/s and rad/s are respectively

Two objects of mass m₁ = 2m and m₂ = m move around a rotation axis A in parallel circles of radii r₁ = r and r₂ = 2r with equal tangential speeds.As they rotate,forces of equal magnitude are applied opposite to their velocities to stop them.Which statement is correct?

Exhibit 10-3 The graph below shows a plot of angular velocity in rad/s versus time in s from t = 0 s to t = 7 s. Use this exhibit to answer the following question(s). -Refer to Exhibit 10-3.The angular position, $\theta$ ,at t = 0 s is 3.0 rad,clockwise.The angular position, $\theta$ ,at t = 7 s is

What is the angular momentum of the moon about the Earth? The mass of the moon is 7.35* 10²² kg,the center-to-center separation of the Earth and the moon is 3.84 *10⁵ km,and the orbital period of the moon is 27.3 days.Ignore the small offset of the center of mass of the system from the center of the Earth in your calculation.

Identical particles are placed at the 50-cm and 80-cm marks on a meter stick of negligible mass.This rigid body is then mounted so as to rotate freely about a pivot at the 0-cm mark on the meter stick.If this body is released from rest in a horizontal position,what is the angular speed of the meter stick as it swings through its lowest position?

The angular speed of the hour hand of a clock,in rad/min,is

A particle whose mass is 2 kg moves in the xy plane with a constant speed of 3 m/s along the direction $\hat { \mathbf { r } } = \hat { \mathbf { i } } + \hat { j }$ .What is its angular momentum (in kg.m²/s)relative to the origin?

A uniform rod (mass = 2.0 kg,length = 0.60 m)is free to rotate about a frictionless pivot at one end.The rod is released from rest in the horizontal position.What is the magnitude of the angular acceleration of the rod at the instant it is 60 $\degree$ below the horizontal?

The diagram below shows five cylinders,each cylinder rotating with constant angular velocity about its central axis.The magnitude of the tangential speed of one point of each cylinder is shown,along with each cylinder's radius and mass.Which cylinder has the largest angular momentum?

Four identical particles (mass of each = 0.24 kg)are placed at the vertices of a rectangle (2.0 m *3.0 m)and held in those positions by four light rods which form the sides of the rectangle.What is the moment of inertia of this rigid body about an axis that passes through the center of mass of the body and is parallel to the shorter sides of the rectangle?

Two cylinders made of the same material roll down a plane inclined at an angle $\theta$ with the horizontal.Each travels the same distance.The radius of cylinder B is twice the radius of cylinder A.In what order do they reach the bottom?

A 0.5 kg fish,hooked as shown below,starts to swim away at a speed of 3 m/s.The angular momentum of the fish relative to the hand holding the fishing rod is about