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1.
A block slides down an inclined plane of slope angle q with constant velocity. It is then projected up the same plane with an initial velocity vo. How far up the incline will it move before coming to rest.
(a)\frac{{v_{o}^{3}}}{{4g\sin \theta }}
(b)\frac{{v_{o}^{5}}}{{4g\sin \theta }}
(c)\frac{{v_{o}^{2}}}{{4g\sin \theta }}
(d)\frac{{v_{o}^{2}}}{{4g\cos \theta }}
Ans (c)
Comprehension Based Question (2 to 4)
Block A of mass m and block B of mass 2m are placed on a fixed triangular wedge by means of a massless, inextensible string and a frictionless pulley as shown in figure. The wedge is inclined at 45° to the horizontal on both sides. The coefficient of friction between block A and the wedge is 2/3 and that between block and the wedge is 1/3. If the system of A and B is released from rest, find
2.
the acceleration of A
(a)10
(b)2
(c)0
(d)1.25
Ans (c)
3.
tension in the string, and (a)
(a) (3√2/3) mg
(b)(2√2/3) mg
(c)(2√2/7) mg
(d)(5√2/2) mg
Ans (b)
4.
The magnitude and direction of the force of friction acting on A.
(a)(mg/√2)
(b)(mg/5√2)
(c)(mg/2)
(d)(mg/3√2)
Ans (d)
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