Question #288793

A ball of mass m1=4kg and a block of mass m2=10kg

are attached by a lightweight cord that passes

over a frictionless pulley of negligible mass, as in figure below. The block lies on a frictionless incline of

angle θ=48 degrees. Find the magnitude of the acceleration of the two objects and the tension in the cord.


1
Expert's answer
2022-01-20T10:08:14-0500

By equilibrium of forces, for the block and ball, assuming that upward (for the ball) and up the incline (for the block) is the positive direction :


m1a=m1g+T,m2a=m2gsinθ+T. a=2.4 m/s2,T=48.8 N.-m_1a=-m_1g+T,\\ m_2a=-m_2g\sin\theta+T.\\\space\\ a=-2.4\text{ m/s}^2,\\ T=48.8\text{ N}.


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