A vertical rod is hit at one end. What kind of wave propagates in the rod if (a) the hit is made vertically (b) the hit is made horizontally ?

A uniform rod of length L and mass M is pivoted freely at one end and placed in vertical position. a. What is angular acceleration of the rod when it is at ann angle theta with the vertical? b. What is the tangential linear acceleration of the free end when the rod is horizontal?

A weightless rod of length 2l carries two equal masses 'm', one tied at lower end A and the other at the middle of the rod at B . The rod can rotate in vertical plane about a fixed horizontal axis passing thriugh C . The rod of is released from rest in horizontal possion. The speed of the mass B at the instant rod become vertical is:

A uniform rod of mass m and length l is fixed from Point A , which is at a distance l//4 from one end as shown in the figure. The rod is free to rotate in a vertical plane. The rod is released from the horizontal position. What is the reaction at the hinge, when kinetic energy of the rod is maximum?

A ball is thrown from a point O aiming a target at angle 30^(@) with the horizontal so that the ball hits the target at B but the ball hits at point A, a vertical distance h below B. If the intial velocity of the ball is 20 ms^(-1) and the horizontal distance between O and C is 10 m. Find the value of h.

A weightless rod of length l carries two equal masses m one fixed at the end and other in the middle ofhte rod. The rod can revolve in a vertical plane about A. Then, horizontal velocity which must be imparted to end C of rod to deflect it to horizontal position is

A massless rod rigidly fixed at O. A sting carrying a mass m at one end is attached to point A on the rod so that OA = a . At another point B(OB = b) of the rod, a horizontal spring of force constant k is attached as shown. Find the period of small vertical oscillations of mass m around its euqilibrium position.

In the figure a uniform rod of mass 'm' and length 'l' is hinged at one end and the other end is connected to a light vertical of spring constant 'k' as shown in figure. The spring has extension such that rod is equilibrium when it is horizontal . The rod rotate about horizontal axis passing through end 'B' . Neglecting friction at the hinge find (a) extension in the spring (b) the force on the rod due to hinge.

A rod standing vertically on a table falls down. What will be the linear velocity of the middle point of the rod at the end of the fall, if the rod is 15 cm long? Assume sufficient friction for no slipping?

A rod of mass m and length L is hinged at its top end. If the rod is in equilibrium making an angle of 30^(@) with the vertical when a horizontal force F is applied as shown in figure, then the value of F is:

A thin rod of length L and mass M is held vertically with one end on the floor and is allowed to fall. Find the velocity of the other end when it hits the floor, assuming that the end on the floor does not slip?