Three equal weights A, B, C of mass 2 kg each arehanging on a string passing over a fixed frictionlesspulley as shown in the figure. The tension in the stringconnecting weight B and C is
A block of mass M is pulled along a horizontal frictionless surface by a rope of mass m. force P is applied at one end of rope. The force which the rope exerts on the block is
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A rope of length 4 m having mass 1.5 kg per metrelying on a horizontal friction less surface is pulled atone end by a force of 12 N. What is the tension in therope at a point 1.6 m from the other end?
A mass M is suspended by a rope from a rigid supportat A as shown in figure. Another rope is tied at the end B and it is pulled horizontally with a force F. If the ropeAB makes an angle θ with the vertical, then the tensionin the string AB is
Two bodies of masses 4 kg and 6 kg are attached onthe ends of a string passing over a pulley. The 4 kgmass is attached to the table top by another string.The tension in this string T1 is equal to (take g = 10 ms-2)
In the following figure, the pulley P1 is fixed and thepulley P2 is movable. If W1 = W2 = 100 N, what is theangle AP2P1? The pulleys are frictionless and assumeequilibrium.
A man sits on a chair supported by a rope passing overa frictionless fixed pulley. The man who weighs 1000 Nexerts a force of 450 N on the chair downwards whilepulling the rope on the other side. If the chair weighs250 N, then the acceleration of the chair is
Three forces are acting on a particle of mass m initiallyin equilibrium. If the first two forces (R1 and R2) areperpendicular to each other and suddenly the third force (R3) is removed, then the acceleration of the particle is
A body of mass 2 kg has an initial velocity of 3 ms-1along OE and it is subjected to a force of 4 N in adirection perpendicular to OE. The distance of bodyfrom O after 4 s will be
In order to raise a mass of 100 kg, a man of mass 60kg fastens a rope to it and passes the rope over a smooth pulley. He climbs the rope with acceleration 5g/4 relative to the rope. the tension in the rope is (takeg =10 ms-2)
A plumb bob is hung from the ceiling of a traincompartment. The train moves on an inclined track ofinclination 300 with horizontal. Acceleration of train upthe plane is a = g/2. The angle which the string supportngthe bob makes with normal to the ceiling in equilibrium is
A balloobn of mass M is descending at a constant acceleration α . When a mass m is released from the balloon, it starts rising with the same acceleration α .Assuming that its volume does not change, what is thevalue of m?
Two wooden blocks are moving on a smooth horizontal surface such that the mass m remains stationary with respect to block of mass M as shown in the figure. The magnitude of force P is
An inclined plane makes an angle 300 with thehorizontal. A groove (OA) of length = 5 m cut in theplane makes an angle 300 with OX. A short smoothcylinder is free to slide down under the influence ofgravity. The time taken by the cylinder to reach from Ato O is (g = 10 ms-2)
A man is raising himself and the crate on which hestands with an acceleration of 5 ms-2 by a masslessrope and pulley arrangement. Mass of the man is 100kg and that of the crate is 50kg. If g = 10 ms-2, then thetension in the rope is
Blocks A and C start from rest and move to the rightwith acceleration aA = 12 t ms-2 and aC = 3 ms-2. Heret is in seconds. The time when block B again comes torest is
In the given firgure, the mass m2 starts with velocity v0 and moves with constant velocity on the surface. Duringmotion the normal reaction between the horizontalsurface and fixed triangle block m1 is N. Then duringmotion.
In the figure shown, blocks A and B move with velocitiesv1 and v2 along horizontal direction. Find the ratio of v1/v2
If block B moves towards right with acceleration b, find the net acceleration of block A.
If the blocks A and B are moving towards each other with acceleration a and b as shown in the figure, find the net acceleration of block C.