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- Rotational Kinematics

- Rotational Kinematics

- Rotational Kinematics

- Rotational Kinematics

A 10 meter long pendulum on the earth, is set into motion by releasing it from a maximum angle of less than 10° relative to the vertical. At what time t will the pendulum have fallen to a perfectly vertical orientation?

- Simple Harmonic Motion

A car accelerates from rest with an acceleration of 3.5 m/s^{2} for 10 seconds. After this, it continues at a constant speed for an unknown amount of time. The driver notices a ramp 50 m ahead and takes 0.6 seconds to react. After reacting, the driver hits the brakes which slow the car with an acceleration of 7.2 m/s^{2}. Unfortunately, the driver does not stop in time and goes off the 3m high ramp that is angled at 27°.

- 1D Kinematics, Projectiles

A car travels at 20 m/s for 5 minutes and then travels another 2 km at 40 m/s. What is the total

distance traveled and time of travel for the car?

- 1D Kinematics

Two masses, my = 32 kg and mg = 38 kg, are connected by a rope that hangs over a pulley. The pulley is a uniform cylinder of radius R = 0.311 m and mass 3.1 kg. Initially my is on the ground and mg rests 2.5 m above the ground. If the system is released, use conservation of energy to determine the speed of me just before it strikes the ground. Assume the pulley bearing is frictionless.

- Rotational Energy, Rotational Inertia, Rotational Kinematics, Rotational Motion, Torque

A hoop with a mass m and unknown radius is rolling without slipping on a flat surface with an angular speed \omega*. *The hoop encounters a hill and continues to roll without slipping until it reaches a maximum height h*. *

- Rolling, Rotational Energy, Rotational Inertia, Rotational Motion

An object weighing 120 N is set on a rigid beam of negligible mass at a distance of 3 m from a pivot, as shown above. A vertical force is to be applied to the other end of the beam a distance of 4 m from the pivot to keep the beam at rest and horizontal. What is the magnitude *F* of the force required?

- Torque

A spinning ice skater on extremely smooth ice is able to control the rate at which she rotates by pulling in her arms. Which of the following statements are true about the skater during this process?

- Angular Momentum, Rotational Inertia, Rotational Motion, Torque

Select all that applies. If a constant net torque is applied to an object, that object will

- Rotational Motion, Torque

The moment of inertia of a solid cylinder about its axis is given by I = \frac{1}{2}mR^2. If this cylinder rolls without slipping, the ratio of its rotational kinetic energy to its translational kinetic energy is

- Rotational Energy, Rotational Motion

A disk, a hoop, and a solid sphere are released at the same time at the top of an inclined plane. They are all uniform and roll without slipping. In what order do they reach the bottom? \text{Solid sphere: } I = \frac{2}{5}mR^2, \quad \text{Solid disk: } I = \frac{1}{2}mR^2, \quad \text{Hoop: } I = mR^2

- Rotational Energy, Rotational Inertia, Rotational Motion

Two equal-magnitude forces are applied to a door at the doorknob. The first force is applied perpendicular to the door, and the second force is applied at 30° to the plane of the door. Which force exerts the greater torque about the door hinge?

- Torque

An object’s angular momentum changes by 10\,\text{kg-m}^2\text{/s} in 2.0 s. What magnitude average torque acted on this object?

- Angular Momentum, Rotational Inertia, Rotational Motion, Torque

A solid sphere ( I = \frac{2}{5}MR^2) and a solid cylinder ( I = \frac{1}{2}MR^2), both uniform and of the same mass and radius, roll without slipping at the same forward speed. It is correct to say that the total kinetic energy of the solid sphere is

- Rotational Energy, Rotational Inertia, Rotational Motion

A force of 17 N is applied to the end of a 0.63-m long torque wrench at an angle 45° from a line joining the pivot point to the handle. What is the magnitude of the torque about the pivot point produced by this force?

- Torque

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