Two blocks connected by an in-extensible string passing over a light frictionless pulley are resting on two smooth inclined planes as shown in diagram. Determine the acceleration of the blocks & tension in the string. Assume string to be massless .

Question

Two blocks connected by an in-extensible string passing over a
light frictionless pulley are resting on two smooth inclined planes
as shown in diagram Determine the acceleration of the blocks &
tension in the string Assume string to be massless

The Mykey Siddharth · Answer

Acceleration = a = g (m1sin alpha - m2sin beta) /
(m1+m2)

a = 10 ( 55 x sin30 - 35 x sin60 ) / ( 55+35 )

a = 10 ( 55/2 - 35root3/2 ) / (90 )

a = 10 ( 55/2 - 60 62/2 ) / (90)

a = 10 ( -5 62/2 ) / (90)

a = -2 81/9 = - 0 31 m/s

Hope it helps