Question

Two masses M₁ and M₂ are attached to the ends of a string which passes over a pulley attached to the top of an inclined plane. The angle of inclination of the plane in θ. Take g = 10 ms^–2.

If M₁ = 10 kg, M₂ = 5 kg, θ = 30^o, what is the acceleration of mass M₂

• A. $10 \mathrm {~ms} ^ { - 2 }$
• B. $5 m s ^ { - 2 }$
• C. $\frac { 2 } { 3 } m s ^ { - 2 }$
• D. Zero

Answer 1

Answer: (D)

Zero

Answer 2

Acceleration $= \frac { m _ { 2 } - m _ { 1 } \sin \theta } { m _ { 1 } + m _ { 2 } } g$ $= \frac { 5 - 10 \cdot \sin 30 } { 5 + 10 } g$

$= \frac { 5 - 5 } { 5 + 10 } g$ = 0