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Admen Multi-Studios - SUBJECT 1 2 In same time (previous question) distance moved by swimmer w.r.t. L UV earth will be V2 U2 A swimmer starts time taken by y swimming towards P swimmer is 5 sec but due to river flow it Q P reaches point Q. vriver-earth = 5 m/s, v swimmwe-river = 5 m/s d d = 10 metre. Choose the correct option(s). The diagram shows a car of length L and a train of length 5L both start moving towards right with accelerations 2A (Car) and A(Train). Time taken by the car to overtake the train is L CAR LV VU the horizontal drift PQ = 25 m L (V U) L (V U) U V velocity of it is not possible swimmer w.r.t. to reach point P. earth is 29 m / s. C ABD x O 3 D:\146992543.doc 10 L A 2 3L A 14L A None of these B ( m 1 2m 2 )g F m1 m 2 A Mm (sin m cos) g a Mm (sin m cos) g D 5L TRAIN 4 (m1 m 2 )g F m1 m 2 A massless string thrown over a stationary pulley is passed through a slit. As the string moves it is acted upon by a constant friction force F on the side of the slit. The ends of the string carry the masses m1 and m2 (m1 > m2). Find the acceleration of each block. (m1 m 2 )2g F m1 m 2 (m1 m 2 )g F 2m1 m 2 m2 m1 5 A monkey of mass m runs down a log of mass M placed on a rough inclined, such that the log does not slip on the incline. If the coefficient of friction between log and incline is s. Find the range of acceleration to satisfy the condition of the problem. m2 m1 Mm (sin m Mm cos)2g a m (sin cos) g Mm Mm (2sin (sin + m m cos) g a cos) g a Mm Mm (4sin (sin m m cos) g cos) g Admen Multi-Studios - SUBJECT 6 7 8 9 10 A block A of mass m1 rests on a rough horizontal surface. The coefficient B m 2 of friction between the block and A the surface is . A uniform plank B of m1 mass m2 rests on A. B is prevented from moving by connecting it to a m 3 light rod. The coefficient of friction C between A and B is . Find the acceleration of blocks A and C. A plank is held at an angle to the horizontal as A shown in figure by two supports A and B. The plank can slide against the supports (without friction) because of its weight Mg. With what acceleration and in what direction should a man of mass m should move so that the plank may mot move. On a smooth horizontal surface a block of mass m is attached with k F a spring as shown in the figure. m Now a constant horizontal force F starts acting on block towards wall. Initially spring is in relaxed stage. Maximum compression in the spring will be Maximum velocity of block during the motion will be Time taken by the block from relaxed state to maximum compression will be D:\146992543.doc [2m3 + (2m2 + m1)/m1+m2]g [m3 - (2m2 + m1)/m1+m2]g [m3 - (2m2 + m1)/2m1+m2]g [m3 - (2m2 + m1)/m1+m2]g B g sin (2+ M/m) g sin (1 + M/m) g sin (2 + M/m) g sin (4 + M/m) B F/2k mg/k mg/2k 2F/k D vmax . m k F mk vmax . 2 m k F 2mk vmax . g 2 m k m k vmax . F 4 m k 2 mk A A