An object of mass, m, is suspended by two cords connected to a wall and to a 5.0 kg block resting on a table as shown. A coefficient of friction of 0.47 exists between the 5.0 kg block and the table. a) Draw an FBD for block with mass 5.0 kg. Determine the magnitudes of the tension in the horizontal rope (T1) and of the normal force acting on block. (FN). b) Draw an FBD of point of connection of three ropes. Calculate the tension T2 on the rope that form an angle 0 = 32° with the wall. c) Draw an FBD for unknown mass. Determine the magnitude of the tension in the vertical rope (T3) and the unknown mass.

Suspended mass is m Resting mas is ms=5.0 kg Coefficient of static friction is μs=0.47

Answered: An object of mass, m, is suspended by two cords connected to a wall and to a 5.0 kg block resting on a table as shown. A coefficient of friction of 0.47 exists…

College Physics

11th Edition

ISBN: 9781305952300

Author: Raymond A. Serway, Chris Vuille

Publisher: Cengage Learning

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Question

An object of mass, m, is suspended by two cords connected to a wall and to a 5.0 kg block resting on a table as
shown. A coefficient of friction of 0.47 exists between the 5.0 kg block and the table.
a) Draw an FBD for block with mass 5.0 kg. Determine the magnitudes of the tension in the horizontal rope (T₁) and of the normal force acting on block. (F_N).

b) Draw an FBD of point of connection of three ropes. Calculate the tension T₂ on the rope that form an angle 0 = 32° with the wall.

c) Draw an FBD for unknown mass. Determine the magnitude of the tension in the vertical rope (T3) and the unknown mass.

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Step 1: Given data:

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Step 2: Free body diagram and calculation of horizontal tension and normal force for the resting block.

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Step 3: Free body diagram of connection points of 3 ropes and tension in the string that is in an angle.

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Step 4: Free body diagram and calculation of the tension in the vertical rope and unknown mass.

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