A block of mass is placed on a smooth incline that makes an angle with the horizontal

PHYSICS · Subjective · CBSE · Physics · Laws of Motion · Laws of Motion

Problem

A block of mass

m_1

is placed on a smooth incline that makes an angle

\theta

with the horizontal. It is connected by a light, inextensible string over an ideal pulley at the top of the incline to a hanging block of mass

m_2

. (i) Derive an expression for the magnitude of the acceleration of the system in terms of

m_1

m_2

g

and

\theta

. (ii) Using your result, find the acceleration when

m_1 = 4\,\text{kg}

m_2 = 5\,\text{kg}

and

\theta = 30^{\circ}

(take

g = 9.8\,\text{m}\,\text{s}^{-2}