Problem 1
A wheel of radius 0.20 meters is mounted on a frictionless horizontal axis. The rotational inertia of the wheel about the axis is 0.050 kgm^2. A massless cord wrapped around the wheel is attached to a 2.0 kg block that slides on a horizontal frictionless surface. If a horizontal force of magnitude P=3.0 N is applied to the block as shown in the problem 1 attachment, what is the magnitude of the angular acceleration of the wheel? Assume the string does not slip on the wheel.

Problem 2
A 32.0 kg wheel, essentially, a thin hoop with radius 1.20 meters, is rotating a 280rev/min. It must be brought to a stop in 15.0 sec. How much work must be done to stop it? And what is the required average power?

Hello and thank you for submitting your problem to BrainMass.
Please see the attached file.
<br>I solved problem 1 using two methods.
<br>The first method uses conservation of energy while the second method uses Newton's second law. Needless to say, the result is identical using both methods.
<br>
<br>Before you look at the solution let ...

Solution Summary

The solution shows two approaches to the solve the problem and shows that the end result is the same.

Rotational Motion: Angular momentum and Torque. Explain the concepts of angular momentum and torque with reference to the rotational motion of a rigid body. ...

Rotational motion: Rate of precession of a rotating wheel. ... Substituting the values we get 2.74 rad/s. Very good solution to learn concepts of rotational motion. ...

Rotational motion: A stationary rod is struck at one end. ... Means that after the blow the motion of the rod will be a combination of translation and rotation. ...

Mechanics: Dynamics (Translational and rotational motion). ... Six problems, good to learn basic concepts of translational and rotational motion. Sol. ...

Rotational motion problems. ... The posting helps with rotational motion problems. Step by step solution provided for questions about the rotation of a wheel. ...

... 2. The equations for constant acceleration, which we learned for linear motion, are in exactly the same form as similar equations for rotational motion. ...