The figure shows a block of mass m resting on a 41° slope. The block has coefficients of friction μg =0.68 and μk=0.45 with the surface. It is connected via a massless string over a massless, frictionless pulley to a hanging block of mass 5 kg. What is the minimum mass m that will stick and not slip? Express your answer in kg. Your result must contain at least two digits after the decimal point.

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Chapter1: Units, Trigonometry. And Vectors
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Plz use g = 9.8 m/s2

The figure shows a block of mass \( m \) resting on a 41° slope. The block has coefficients of friction \( \mu_s = 0.68 \) and \( \mu_k = 0.45 \) with the surface. It is connected via a massless string over a massless, frictionless pulley to a hanging block of mass 5 kg.

**Question:** What is the minimum mass \( m \) that will stick and not slip?

**Instructions:** Express your answer in kg. Your result must contain at least two digits after the decimal point.

**Diagram Explanation:** 

The diagram depicts:

- A sloped surface inclined at 41°.
- A block labeled \( m \) resting on the slope.
- A massless string attached to the block \( m \), which goes over a pulley and connects to a hanging block.
- The hanging block is indicated to be 5 kg.

Both static and kinetic friction coefficients are given, indicating the conditions under which the block will either remain stationary or start to slip on the slope. The problem requires calculating the minimum mass \( m \) needed to prevent slipping and keep the system in equilibrium.
Transcribed Image Text:The figure shows a block of mass \( m \) resting on a 41° slope. The block has coefficients of friction \( \mu_s = 0.68 \) and \( \mu_k = 0.45 \) with the surface. It is connected via a massless string over a massless, frictionless pulley to a hanging block of mass 5 kg. **Question:** What is the minimum mass \( m \) that will stick and not slip? **Instructions:** Express your answer in kg. Your result must contain at least two digits after the decimal point. **Diagram Explanation:** The diagram depicts: - A sloped surface inclined at 41°. - A block labeled \( m \) resting on the slope. - A massless string attached to the block \( m \), which goes over a pulley and connects to a hanging block. - The hanging block is indicated to be 5 kg. Both static and kinetic friction coefficients are given, indicating the conditions under which the block will either remain stationary or start to slip on the slope. The problem requires calculating the minimum mass \( m \) needed to prevent slipping and keep the system in equilibrium.
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