A frictionless surface is inclined at an angle of 30.0° relative to the horizontal. A 10.0 kg box on the ramp is attached to a 12.0 kg box using a frictionless pulley, as shown in figure. When released from rest, m1 will move up the ramp. (a) Draw a free-body diagram for each box. (b) Is the magnitude of acceleration the same for two boxes? Explain your answer. (c) Write Newton’s second law equations for both objects.

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 14P: Three objects are connected on a table as shown in Figure P5.14. The coefficient of kinetic friction...
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  1. A frictionless surface is inclined at an angle of 30.0° relative to the horizontal. A 10.0 kg box on the ramp is attached to a 12.0 kg box using a frictionless pulley, as shown in figure. When released from rest, m1 will move up the ramp.

    (a) Draw a free-body diagram for each box.
    (b) Is the magnitude of acceleration the same for two boxes? Explain your answer.
    (c) Write Newton’s second law equations for both objects.
    (d) Find the tension in the string and the acceleration of the box on the ramp (m1).
    (e) Starting from rest, how long does it take for m1 to move 2.00 m along the surface?

     
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