A 10.0 kg crate is being supported by a slippery track that is oriented at 30° from the horizontal and a rope that is parallel to the track. Draw a free-body diagram for the crate.  Write out the 2nd law equations. Determine the magnitudes of the unknown forces.

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter5: Newton's Laws Of Motion
Section: Chapter Questions
Problem 60PQ: A worker is attempting to lift a 55.0-kg palette of bricks resting on the ground by means of a rope...
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  1. A 10.0 kg crate is being supported by a slippery track that is oriented at 30° from the horizontal and a rope that is parallel to the track.
  1. Draw a free-body diagram for the crate. 
  2. Write out the 2nd law equations.
  3. Determine the magnitudes of the unknown forces.

The rope in the previous scenario is now connected over a pulley to an object.

Draw free-body diagrams for both the crate and the object.

  1.  What is the mass of the object?
  2. If the incline angle is adjusted so that the acceleration of the object is 1.0 m/s2 downward, determine the tension in the rope.
  3. Using the concept of inertial force, discuss why the tension in the rope does not equal the weight of the object.
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