Blocks A and B are connected by a string that passes over a frictionless pulley. Mass of block A is 10kg, the mass of block B is 25kg. Coefficient of fiction between block A and incline surface is.08

Question

a) Write down the Newton's component equations for A and B.

b) Find the acceleration of block A and the tension force of the string

Answer 1

Define positive acceleration as up the incline for A and down for B.

Net force on B : m_Bg - T = m_ba

Net force on A : T - m_Agcosθ - m_Agμcosθ = m_Aa

Add the equations and solve for a: a= (m_B-m_Acosθ-m_Aμcosθ)g/(m_A+m_B)

Find T by inputting a into the equation for B and solving for T

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