Two blocks are connected by a light string that passes over a smooth pulley fixed at…
PHYSICS · Multi-part · A Level · Physics · Mechanics and materials · Mechanics and materials
Problem
Two blocks are connected by a light string that passes over a smooth pulley fixed at the junction of two smooth inclined planes. Block m1=3kg rests on a plane inclined at 30∘ to the horizontal, while block m2=4kg rests on another plane inclined at 45∘ to the horizontal. The string is along the line of greatest slope of each plane.
(a) Draw the free-body diagram for each block, showing all forces acting on them.
(b) Taking motion along the line of greatest slope, derive an expression for the acceleration of the system in terms of m1, m2, g, θ1 and θ2.
(c) Using the given data, calculate the acceleration and the tension in the string.
(d) Determine the normal reaction exerted by each plane on its respective block during the motion.