(HW 2) Given that m, = 100 kg, m2 = 70 kg, and m3 = 50 kg, (A) find a if the table is frictionless, (B) find a if µr= 0.20, (C) find the minimum value of us if the system is in equilibrium. a m2 a

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HI I'm currently struggling to find the value of us if the system is equilibrium

 

**Homework 2 (HW 2)**

Given that \( m_1 = 100 \, \text{kg} \), \( m_2 = 70 \, \text{kg} \), and \( m_3 = 50 \, \text{kg} \):

**(A)** Determine the acceleration \( a \) if the table is frictionless.

**(B)** Determine the acceleration \( a \) if the coefficient of kinetic friction \( \mu_k = 0.20 \).

**(C)** Find the minimum value of the coefficient of static friction \( \mu_s \) if the system is in equilibrium.

---

**Diagram Explanation:**

The diagram depicts a system with three masses: \( m_1 \), \( m_2 \), and \( m_3 \). Mass \( m_2 \) is on a table, connected by a string over pulleys to masses \( m_1 \) and \( m_3 \), which hang off the table's edges. 

- Mass \( m_1 \) has an acceleration \( a \) pointing downward.
- Mass \( m_2 \) has an acceleration \( a \) horizontally, and the kinetic friction \( f_k \) acts opposite to the motion.
- Mass \( m_3 \) has an acceleration \( a \) pointing upward.

Pulleys are assumed to be frictionless, and the strings are ideal and inextensible.
Transcribed Image Text:**Homework 2 (HW 2)** Given that \( m_1 = 100 \, \text{kg} \), \( m_2 = 70 \, \text{kg} \), and \( m_3 = 50 \, \text{kg} \): **(A)** Determine the acceleration \( a \) if the table is frictionless. **(B)** Determine the acceleration \( a \) if the coefficient of kinetic friction \( \mu_k = 0.20 \). **(C)** Find the minimum value of the coefficient of static friction \( \mu_s \) if the system is in equilibrium. --- **Diagram Explanation:** The diagram depicts a system with three masses: \( m_1 \), \( m_2 \), and \( m_3 \). Mass \( m_2 \) is on a table, connected by a string over pulleys to masses \( m_1 \) and \( m_3 \), which hang off the table's edges. - Mass \( m_1 \) has an acceleration \( a \) pointing downward. - Mass \( m_2 \) has an acceleration \( a \) horizontally, and the kinetic friction \( f_k \) acts opposite to the motion. - Mass \( m_3 \) has an acceleration \( a \) pointing upward. Pulleys are assumed to be frictionless, and the strings are ideal and inextensible.
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