At t=0, a wheel rotating about a fixed axis at a constant angular acceleration has an angular velocity of 2 rad/s. Two seconds later it has turned 5 complete revolutions. What is the angular acceleration of this wheel?
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Answer:
a) 17 rad/s^2
b) 14 rad/s^2
c) 20 rad/s^2
d) 23 rad/s^2
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A 9.00 kg hanging weight is connected to a string over a pulley to a 5.00 kg block that is sliding on a flat table. If the coefficient of kinetic friction is 0.15, find the tension in the string.
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Answer:
a) 28.3 N
b) 36.2 N
c) 40.4 N
d) 53.4 N
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OTA: Please take this problem only if you can show step by step problem solving and equations used. Thank you.

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An 0.50 kg object is attached to one end of a spring, and the system is set into simple harmonic motion. The displacement x of the object as a function of time is shown in the drawing below. With the aid of this data, determine the following values.
(a) amplitude A of the motion
(b) angular frequency
(c) spring c

The 6lb slender rod AB is originally shown at rest, suspended in the vertical position. A 1lb ball is thrown at the rod with the velocity v= 50ft/s and strikes the rod at C. Determine the angular velocity of the rod just after the impact. Take e = 0.7 and d= 2ft. (See attachment for diagram)

Scientists are experimenting with a kind of gun that may eventually be used to fire payloads directly into orbit. In one test, this gun accelerates a 5.0-kg projectile from rest to a speed of 4.0 x 10^3 m/s^2. The net force accelerating the projectile is 4.9 x 10^5 N. How much time is required for the projectile to come up to sp

While constructing a space platform a 116kg robot finds itself standing on a 24m long 205 kg steel beam that is motionless with respect to the platform. Using its magnetic feet it walks along the beam traveling south at 2.45m/s. What is the velocity of the beam with respect to the platform as the robot walks?

A wheel that is rotating at 33.3 rad/s is given an angular acceleration of 2.15 rad/s/s. Through what angle has the wheel turned when its angular speed reaches 72.0 rad/s?

If a body is subjected to several forces, we must first find the net force on the body and then apply F=ma to determine its acceleration.
For instance: A pail of water of mass 20 kg is being lifted by a rope from a well. It is ascending with an acceleration of 2 m/s^2. Determine tension in the rope.

See the attached file.
The motion of the top is such that at the instant shown it is rotating about the z axis at w1 = 0.6 rad/s, while it is spinning at w2 = 8 rad/s. Determine the angular velocity andangular acceleration of the top at this instant. Express the result as a Cartesian vector.

When you lean up against a wall the wall hold you up because the wall is exerting an equal force back onto you which hold you up. Why would the result be different if you tried to lean up against a shower curtain?

A solid roll of paper falls off the countertop, the outward sheet still held on the counter by a large can of beans. The diameter of the roll is 14cm, and its mass is .2kg (consider constant).
Find:
a) The acceleration of the roll's center of mass.
b) The tension in the outward sheet of paper.