Problem 75. The initially stationary 20 kg block is subjected to the time-varying horizontal force whose magnitude P is shown in the plot. Note that the force is zero P, N for all times greater than 3 s. Determine the time to at which the block comes to rest. Mk = 0.40) Mg = 0.60 20 kg P 150 t, s

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**Problem 75.** The initially stationary 20 kg block is subjected to the time-varying horizontal force whose magnitude \( P \) is shown in the plot. Note that the force is zero for all times greater than 3 s. Determine the time \( t_s \) at which the block comes to rest.

In the diagram, a 20 kg block is shown with a horizontal force \( P \) being applied to it. The coefficients of friction are given as: \( \mu_k = 0.40 \) (kinetic friction) and \( \mu_s = 0.60 \) (static friction).

The adjacent graph depicts the force \( P \) in newtons (N) versus time \( t \) in seconds (s). 

- The graph shows a linear increase of force \( P \) from 0 N at \( t = 0 \) to 150 N at \( t = 3 \) s.
- After 3 s, the force \( P \) becomes 0 N and remains constant.
Transcribed Image Text:**Problem 75.** The initially stationary 20 kg block is subjected to the time-varying horizontal force whose magnitude \( P \) is shown in the plot. Note that the force is zero for all times greater than 3 s. Determine the time \( t_s \) at which the block comes to rest. In the diagram, a 20 kg block is shown with a horizontal force \( P \) being applied to it. The coefficients of friction are given as: \( \mu_k = 0.40 \) (kinetic friction) and \( \mu_s = 0.60 \) (static friction). The adjacent graph depicts the force \( P \) in newtons (N) versus time \( t \) in seconds (s). - The graph shows a linear increase of force \( P \) from 0 N at \( t = 0 \) to 150 N at \( t = 3 \) s. - After 3 s, the force \( P \) becomes 0 N and remains constant.
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