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A ball of mass m1 and a block of mass m2 are attached by a lightweight cord that passes over a frictionless pulley of negligible mass as in figure (a). The block lies on a frictionless incline of angle ?. Find the magnitude of the acceleration of the two objects and the tension in the cord.

Solve for a in terms of m1, m2, g, and ?:

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m2*g*sin(theta) - m1*g = (m1 +m2)*a

=> a = [m2*sin(theta) - m1]*g/(m1 +m2)

for the block of mass m2,

m2*g*sin(theta) - T = m2*a

=> m2*g*sin(theta) -T = m2* [m2*sin(theta) - m1]*g/(m1 +m2)

=> T = m1*m2*g*[1 + sin(theta)]/(m1 +m2)

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