Two objects are connected by a light string that passes over a frictionless pulley as shown in the figure below. m, = 6.00 kg, m2 = 6.00 kg, and o = 60°. When released from rest, m, accelerates downward at 1.421 m/s2. For this to happen, the coefficient of kinetic friction must be x , and to even begin sliding in the first place the coefficient of static friction must be less than 0.57 . Use g=9.8 m/s2.

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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**Text:**

Two objects are connected by a light string that passes over a frictionless pulley as shown in the figure below. \( m_1 = 6.00 \, \text{kg} \), \( m_2 = 6.00 \, \text{kg} \), and \( \phi = 60^\circ \). When released from rest, \( m_1 \) accelerates downward at \( 1.421 \, \text{m/s}^2 \). For this to happen, the coefficient of kinetic friction must be [blank], and to even begin sliding in the first place the coefficient of static friction must be less than 0.57. Use \( g = 9.8 \, \text{m/s}^2 \).

**Diagram Explanation:**

The diagram shows two blocks, \( m_1 \) and \( m_2 \), connected by a string over a pulley. Block \( m_1 \) hangs vertically, while block \( m_2 \) rests on an incline that makes an angle \( \phi = 60^\circ \) with the horizontal. The pulley is frictionless and positioned at the top of the incline. The system depicts a scenario of motion where \( m_1 \) moves downwards due to gravity, causing \( m_2 \) to slide upwards along the incline.
Transcribed Image Text:**Text:** Two objects are connected by a light string that passes over a frictionless pulley as shown in the figure below. \( m_1 = 6.00 \, \text{kg} \), \( m_2 = 6.00 \, \text{kg} \), and \( \phi = 60^\circ \). When released from rest, \( m_1 \) accelerates downward at \( 1.421 \, \text{m/s}^2 \). For this to happen, the coefficient of kinetic friction must be [blank], and to even begin sliding in the first place the coefficient of static friction must be less than 0.57. Use \( g = 9.8 \, \text{m/s}^2 \). **Diagram Explanation:** The diagram shows two blocks, \( m_1 \) and \( m_2 \), connected by a string over a pulley. Block \( m_1 \) hangs vertically, while block \( m_2 \) rests on an incline that makes an angle \( \phi = 60^\circ \) with the horizontal. The pulley is frictionless and positioned at the top of the incline. The system depicts a scenario of motion where \( m_1 \) moves downwards due to gravity, causing \( m_2 \) to slide upwards along the incline.
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