(NEWTON'S LAWS) The figure shows a block of mass m resting on a 20° slope. The block = has coefficients of friction us 0.80 and μ = 0.50 with the surface. It is connected via a massless string over a massless, frictionless pulley to a hanging block of mass 2.0 kg. (a) Assume that the block of mass m is stationary on the incline. Draw free body diagrams for each block in this case, including coordinate systems for each free body diagram. (Note that these coordinate systems can be different from each other!) (b) What is the minimum mass m that will remain stationary and not slip up the incline? (c) If this minimum mass is nudged ever so slightly, it will start being pulled up the incline. What acceleration will it have? (HINT: The tension in the string is different in this case than the tension in the string in parts a and b.) m T 20° 2.0 kg

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter5: More Applications Of Newton’s Laws
Section: Chapter Questions
Problem 9P: A 3.00-kg block starts from rest at the top of a 30.0 incline and slides a distance of 2.00 m down...
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5. (NEWTON'S LAWS) The figure shows a block of mass m resting on a 20° slope. The block
has coefficients of friction ps = 0.80 and p = 0.50 with the surface. It is connected via a
massless string over a massless, frictionless pulley to a hanging block of mass 2.0 kg.
(a) Assume that the block of mass m is stationary on the incline. Draw free body diagrams
for each block in this case, including coordinate systems for each free body diagram.
(Note that these coordinate systems can be different from each other!)
(b) What is the minimum mass m that will remain stationary and not slip up the incline?
(c) If this minimum mass is nudged ever so slightly, it will start being pulled up the incline.
What acceleration will it have? (HINT: The tension in the string is different in this
case than the tension in the string in parts a and b.)
m
20°
2.0 kg
Transcribed Image Text:5. (NEWTON'S LAWS) The figure shows a block of mass m resting on a 20° slope. The block has coefficients of friction ps = 0.80 and p = 0.50 with the surface. It is connected via a massless string over a massless, frictionless pulley to a hanging block of mass 2.0 kg. (a) Assume that the block of mass m is stationary on the incline. Draw free body diagrams for each block in this case, including coordinate systems for each free body diagram. (Note that these coordinate systems can be different from each other!) (b) What is the minimum mass m that will remain stationary and not slip up the incline? (c) If this minimum mass is nudged ever so slightly, it will start being pulled up the incline. What acceleration will it have? (HINT: The tension in the string is different in this case than the tension in the string in parts a and b.) m 20° 2.0 kg
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