Two objects,A and B,are placed on an inclined plane that can be rotated to different angles of elevation.A starts to slide at twice the angle of elevation that B starts sliding.The respective coefficients for static friction for A and B are m_A and m_B.Choose the last answer that is correct. A)m_B m_A B)m_A m_B C)m_B = 2 m_A D)m_A = 2 m_B

Question

Two objects,A and B,are placed on an inclined plane that can be rotated to different angles of elevation.A starts to slide at twice the angle of elevation that B starts sliding.The respective coefficients for static friction for A and B are m_A and m_B.Choose the last answer that is correct. A)m_B > m_A B)m_A > m_B C)m_B = 2 m_A D)m_A = 2 m_B

Quizplus · Accepted Answer

For object A, the coefficient of static friction is greater than that of object B (mS1U1B1A > mS1U1B1B) because A needs more force to overcome the static friction and start sliding. Since A starts sliding at twice the angle of elevation than B (2θ vs θ), it means that the force acting on A is less than that on B. Therefore, the maximum frictional force on A is less than that on B (frictional force ∝ force normal to inclined plane), which means that the coefficient of static friction for A is smaller than that for B (mS1U1B1B > mS1U1B1A). Thus, option B is the correct answer.

Two Objects,A and B,are Placed on an Inclined Plane That