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1
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Two objects A and B of masses 2 kg and 4kg are connected by a uniform rope of mass 4kg as shown in the diagram. A force magnitude 80N acts on A in vertically upward direction. Tension at mid point of the rope is (g = 10 m/s2)
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2
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A block kept on a rough inclined plane, as shown in the figure, remains at rest up to a maximum force 2 N down the inclined plane. The maximum external force up the inclined plane that does not move the block is 10 N. The coefficient of static friction between the block and the plane is: [Take g = 10 m/s2]
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3
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A block of mass 5 kg is placed at rest on a table of rough surface. Now, if a force of 30N is applied in the direction parallel to the surface of the table, the block slides through a distance of 50 m in an interval of time 10s. Coefficient of kinetic friction is (given, g = 10 ms-2 ):
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4
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If the rotational KE of a body increases by 300%, the percentage change in angular momentum would be (Assume body is rotating about fixed axis).
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5
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The coefficient of static friction between two blocks is 0.5 and the table is smooth. The maximum horizontal force that can be applied to move the blocks together is .......N. (Take: g = 10 ms-2 )
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6
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In a given system of units, 1 unit of mass = 2 kg, 1 unit of length = 5 m and 1 unit of time = 5 sec. Then in this system. UN represents :
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7
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A crate of weight Fg is pushed by a force p on a horizontal floor. The coefficient of static friction is μs , and P is directed at angle θ below the horizontal. The minimum value of P that will move the crate is :
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8
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A minimum horizontal force of 10 N, is necessary to hold a block stationary against a wall. The coefficient of friction between the block and the wall is 0.2. Contact force by the wall on the block
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9
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An inclined plane is bent in such a way that the vertical cross-section is given by y = x2/4 where y is in vertical and x in horizontal direction. If the upper surface of this curved plane is rough with coefficient of friction μ = 0.5, the maximum height in cm at which a stationary block will not slip downward is—-cm.
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10
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The kinetic energy k of a particle moving along a circle of radius R depends on the distance covered as k = as2 . The force acting on the particle is (a is any positive constant)
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11
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Two cars of masses m1 and m2 are moving in circles of radii r1 and r2 , respectively. Their speeds are such that they make complete circles in the same time t. The ratio of their centripetal acceleration is :
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12
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When the momentum of a body increases by 100%, its KE increases by?
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13
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A particle is moving in a circle of radius R in such a way that at any instant the normal and tangential components of its acceleration are equal. If its speed at t =0 is vo then the time it takes to complete the first revolution is :
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14
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A small ball can move in a vertical plane along a semi-circle of radius r without friction. At what speed is the ball to launch from point A so that its acceleration is 3g at point B ?
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15
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A particle is moving on a straight line with a constant power P. The distance travelled by the particle in the interval its speed increases from v to 2v is.
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16
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Mass per unit area of a circular disc of radius a depends on the distance r from its centre as σ(r) = A + Br. The moment of inertia of the disc about the axis, perpendicular to the plane and passing through its centre is:
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17
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A proton makes a head-on collision with an unknown particle at rest. The proton rebounds straight back with 4/9 of its initial kinetic energy. The ratio of the mass of the unknown particle to the proton, assuming that the collision is elastic is
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18
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The radius of gyration of a uniform rod of length l, about an axis passing through a point l/4 away from the centre of the rod, and perpendicular to it, is:
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19
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If the linear density of a rod of length 3m varies as λ = 2 + x, then the position of centre of mass of the rod from origin is (given that rod is placed on positive x-axis, with one end at origin):
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20
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A solid sphere and a solid cylinder having the same mass and radius roll down the same incline. The ratio of their acceleration is?
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