A smooth vertical rod is released from rest such that it is constrained to move vertically on a smooth wedge `(theta = 45^@)`. When the wedge moves through a distance `x`, the speed of the rod is :
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A vertical rod of mass m is kept on a wedge of mass M. If a horizontal force F acts on the wedge and the rod is constrained to move vertically, after releasing the rod-wedge system, (a) find their speeds when the wedge moves through a distance x. (b) What is the power delivered by the rod on the wedge aftre a time t measured from the instant of release?

A rod of length l is released from the vertical position on a smooth horizontal plane. What is the nature of motion of the free end of the rod ?

A uniform rod of length l is from rest such that it rotates about a smooth pivot. The angular speed of the rod when it becomes vertical is. .

A uniform rod smoothly pivoted at one of its ends is released from rest. If it swings in vertical plane, the maximum speed of the end P of the rod is. .

A uniform rod AB of mass 3m and length 4l, which is free to turn in a vartical plane about a smooth horizontal axis through A, is released from rest when horizontal When the rod first impulse exerted by the peg on the rod it. (a). The rod is brought to rest by the peg. (b). The rod rebounds and next comes to instantaneous rest inclined to the downward vertical at an angle (pi)/(3) radian.

A light rigid rod of length l is constrained to move in a vertical plane, so that its ends are along the x and y axes respectively. Find the instantaneous axis of rotation of the rod when it makes an angle theta with horizontal.

Two identical rods are joined at one of their ends by a pin. Joint is smooth and rods are free to rotate about the joint. Rods are released in vertical plane on a smooth surface as shown in the figure. The displacement of the joint from its initial position to the final position is (i.e. when the rods lie straight on the groun )

A thin uniform rod of mass m and length l is kept on a smooth horizontal surface such that it can move freely. At what distance from centre of rod should a particle of mass m strike on the rod such that the point P at a distance l/3 from the end of the rod is instantaneously at rest just after the elastic collision?

A wedge with a smooth quarter circular plane is kept on a rough horizontal plane as shown. A particle of mass m = 4kg is released from rest from top of wedge. Find minimum value of mass of wedge (in kg) so that wedge does not move during complete journey of particle. Coefficient of friction between ground and wedge is mu = 3/4.