Two blocks of masses m1 and m2 are connected by an ideal string passing over an

Question

Two blocks of masses m1 and m2 are connected by an ideal string passing over an ideal pulley. The block of mass m2 slides along a ramp where there is NO friction. The block of mass m1 only touches the string, and is moving upwards initially. The angle of the ramp is theta=53 degrees. Find the acceleration of the blocks in terms of symbols m1, m2, theta, and constants like g. Look at limiting value of m2 to see if answer makes sense. Find a relation between the variables that would guarantee that the block is initially slowing down.

Explanation / Answer

Two blocks of masses m1 and m2 are connected by an ideal string passing over an ideal pulley. let tension in the string be T. let acceleration of the system be a. then for mass m1: m1*g*sin 53-T=m1*a...(1) for mass m2: T-m2*g=m2*a...(2) adding both the equations: g*(0.8*m1-m2)=a*(m1+m2) so a=g*(0.8*m1-m2)/(m1+m2)a relation between the variables that would guarantee that the block is initially slowing down

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