Two moasses m_(1)=5kg and m_(2)=10kg, connected by an inextensible string over a frictionless pulley, are moving as shown in the figure. The coefficient of friction of horizontal surface is 0.15. The minimum weitght m that should be put on top of m_(2) to stop the motion is :-
A rod PQ of mass M and length L is hinged at end P. The rod is kept horizontal by a massless string tied to point Q as shown in figure. When string is cut, the initial angular acceleration of the rod is
A projectile si thrown with velocity of 50m//s towards an inclined plane from ground such that is strikes the inclined plane perpendiclularly. The angle of projection of the projectile is 53^(@) with the horizontal and the inclined plane is inclined at an angle of 45^(@) to the horizontal. (a) Find the time of flight. (b) Find the distance between the point of projection and the foot of inclined plane.
Four massless springs whose force constants are 2k, 2k, k and 2k respectively are attached to a mass M kept on a frictionless plane (as shown in figure). If the mass M is displaced in the horizontal direction.
A uniform rod of length (L) and mass (M) is pivoted at the centre. Its two ends are attached to two springs of equal spring constants (k). The springs are fixed to rigid supports as shown in the figure, and the rod is free to oscillate in the horizontal plane. The rod is free to oscillate in the horizontal plane. The rod is gently pushed through a small angle (theta) in one direction and released. The frequency of oscillation is. ? (##JMA_CHMO_C10_009_Q01##).
A horizontal ray of light passes through a prism of index 1.50 and apex angle 4^(@) and then strikes a vertical mirror , as shown in the figure. Through what angle must the mirror be rotated if after reflection the ray is to be horizontal?
A mass of 6 kg is suspended by a rope of length 2 m from the ceiling. A force of 50 N in the horizontal direction is applied at the midpoint P of the rope, as shown. What is the angle the rope makes with the vertical in equilibrium ? (Take g = 10 ms-2). Neglect the mass of the rope.
A simple pendulum of length l and bob mass m is hanging in front of a large nonconducting sheet having surface charge density sigma . If suddenly a charge +q is given to the bob & it is released from the position shown in figure. Find the maximum angle through which the string is deflected from vertical . .
Two particles are separated at a horizontal distance x as shown in (Fig. 5.57). They are projected at the same time as shown in the figure with different initial speed. Find the time after which the horizontal distance between the particles becomes zero. .
