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1.
In the arrangement shown in the figure, the block of mass m and the wedge of mass M always remain in contact. The masses of the pulley and the thread are negligible. The friction is absent. Find the acceleration of the block relative to the wedge and with respect to ground.
(a)\frac{{mg}}{{2m\,+M}};\frac{{mg\sqrt{2}}}{{2m\,+\,M}}
(b)\frac{{mg}}{{5m\,+M}};\frac{{mg\sqrt{2}}}{{2m\,+\,M}}
(c)\frac{{mg}}{{3m\,+M}};\frac{{mg\sqrt{2}}}{{2m\,+\,M}}
(d)\frac{{mg}}{{m\,+M}};\frac{{mg\sqrt{2}}}{{2m\,+\,M}}
Ans (a)
2.
For the arrangement shown in the figure, find the magnitude of the horizontal acceleration a to keep the blocks m1 and m2 stationary with respect to the large block. Assume all surfaces to be frictionless.
(a)\left( {\frac{{{{m}_{1}}}}{{{{m}_{2}}-{{m}_{1}}}}} \right)\,g
(b)\left( {\frac{{{{m}_{1}}}}{{{{m}_{2}}}}} \right)\,g
(c)\left( {\frac{{{{m}_{1}}+{{m}_{1}}}}{{{{m}_{2}}}}} \right)\,g
(d)\left( {\frac{{{{m}_{2}}}}{{{{m}_{1}}}}} \right)\,g
Ans (b)
3.
Find the magnitude of the horizontal force F required to keep the block stationary with respect to wedge. Assume all the surfaces to be frictionless.
(a) (M + m) g tanΘ
(b) (M – m) g tanΘ
(c) (M x m) g tanΘ
(d) (M + m) g tan 90
Ans (a)
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