the horizontal. Use g = 9.81m/s². (a) Draw a free body diagram for the block. Label and state all the forces on the block. F: Applied force (b) Write down all the forces in unit-vector notation in terms of their magnitudes (in variables) and the inclined angle 0. F = F cos 0 î + F sin 0 ĵ (c) Find the magnitude of the tension in the cord (in terms of known variables: F,M and 0). [Use the fact that F = 0.] %3D

Mechanics of Materials (MindTap Course List)
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Chapter2: Axially Loaded Members
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A block (with mass M) is resting on an inclined plane, and is attached to the wall by a cord (see figure). The block is
pulled by an applied force F (horizontal) on the lower side. The inclined plane is frictionless and makes an angle 0 with
the horizontal. Use g = 9.81m/s?.
(a) Draw a free body diagram for the block. Label and state all the forces on the block.
F: Applied force
(b) Write down all the forces in unit-vector notation in terms of their magnitudes (in variables) and the inclined angle 0.
F = F cos e î + F sin 0 ĵ
(c) Find the magnitude of the tension in the cord (in terms of known variables: F, M and 0). [Use the fact that EF = 0.]
Transcribed Image Text:A block (with mass M) is resting on an inclined plane, and is attached to the wall by a cord (see figure). The block is pulled by an applied force F (horizontal) on the lower side. The inclined plane is frictionless and makes an angle 0 with the horizontal. Use g = 9.81m/s?. (a) Draw a free body diagram for the block. Label and state all the forces on the block. F: Applied force (b) Write down all the forces in unit-vector notation in terms of their magnitudes (in variables) and the inclined angle 0. F = F cos e î + F sin 0 ĵ (c) Find the magnitude of the tension in the cord (in terms of known variables: F, M and 0). [Use the fact that EF = 0.]
(e) If the mass of the block is 9.50 kg, the applied force is 10.0N and the inclined angle 0 = 30.0°, calculate the
magnitudes of the tension and the normal force.
%3D
(f) If the cord is cut, what is the acceleration of the block?
Transcribed Image Text:(e) If the mass of the block is 9.50 kg, the applied force is 10.0N and the inclined angle 0 = 30.0°, calculate the magnitudes of the tension and the normal force. %3D (f) If the cord is cut, what is the acceleration of the block?
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