You and a friend get on two adjacent horses on a merry-go-round. Which horse would have the greater angular speed, a horse near the outside rail of the merry-go-round or a horse near the inside rail?

Which of the following shows the relationship between linear and angular velocity?

The easiest way to open a heavy door is by applying the force:

If the torque required to loosen a nut on the wheel of a car has a magnitude of 60.0 N•m, what minimum perpendicular force must be exerted by a mechanic at the end of a 50.0 cm wrench to loosen the nut?

What is happening to the ice skater?

What does Rotational Inertia, AKA Moment of Inertia, depend on?

A seesaw is in rotational equilibrium. What is the weight of the package located on the right side of the balance beam at the 1.5 m mark?

The broomstick shown is in static equilibrium. The torque due to the mass to the right of the person's finger is ____________ compared to the torque due to the mass to the left of the person's finger.

If the fulcrum is on the hinge in the picture, which of the following forces are not creating torque.

The figure above shows a uniform meterstick that is set on a fulcrum at its center. A force of magnitude F toward the bottom of the page is exerted on the meterstick at the position shown. At which of the labeled positions must an downward force of magnitude F/2 be exerted on the meterstick to keep the meterstick in equilibrium?

How many radians are there in one complete rotation?

A ball rolls down a hill. If we consider the earth-ball system, what type or types of energy does the ball have when it reaches the bottom? Select all that apply.

A disk is initially rotating counterclockwise around a fixed axis with angular speed $$\omega_0$$  . At time $$t=0$$  , the two forces shown in the figure below are exerted on the disk. If counterclockwise is positive, which of the following could show the angular velocity of the disk as a function of time?

Two blocks are joined by a light string that passes over the pulley shown in the diagram, which has radius $$R$$  and moment of inertia  $$I$$   about its center. $$T_1$$  and $$T_2$$  are the tensions in the string on either side of the pulley
and  $$\alpha$$   is the angular acceleration of the pulley. Which of the following equations best describes the pulley’s
rotational motion during the time the blocks accelerate?

Two objects are released from rest at the top of ramps with the same dimensions, as shown in the diagram. The sphere rolls down one ramp without slipping. The small block slides down the other ramp without friction. Which object reaches the bottom of the ramp first, and why?

A uniform meterstick is balanced at the center, as shown above. Which of the following shows how a 0.50 kg mass and a 1.0 kg mass could be hung on the meterstick so that the stick stays balanced?

An object rotates with an angular speed that varies with time, as shown in the graph. How can the graph be used to determine the magnitude of the angular acceleration α of the object? Justify your selection.

A graph of the angular velocity ω as a function of time t is shown for an object that rotates about an axis. Three time intervals, 1–3, are shown. Which of the following correctly compares the angular displacement Δθ of the object during each time interval?

A rod of length $$2D_0$$  and mass $$2M_0$$  is at rest on a flat, horizontal surface. One end of the rod is connected to a pivot that the rod will rotate around if acted upon by a net torque. A sphere of mass $$m_0$$  is launched horizontally toward the free end of the rod with velocity $$v_0$$  , as shown in the figure. After the sphere collides with the rod, the sphere sticks to the rod and both objects rotate around the pivot with a common angular velocity. Which of the following predictions is correct about angular momentum and rotational kinetic energy of the sphere-rod system immediately before the collision and immediately after the collision?

A lump of clay of mass $$m_{clay}$$  with speed  $$v_{clay}=8\ \frac{m}{s}$$  travels toward various spheres that are suspended from the ceiling by lightweight strings of different lengths, as shown in the figure. For the three scenarios, the clay collides with the suspended sphere and sticks to it. Which of the following correctly relates the angular momentum L of the clay-bob system immediately after the collision for each scenario, where the angular momentum is taken about the point where the string is attached to the ceiling?