Question Answers

ABC is a triangular plate of uniform thickness. The sides are in the ratio shown in the figure. IAB, IBC and ICA are the moments of inertia of the plate about AB, BC and CA respectively. Which one of the following relations is correct? ABC is a triangular plate of uniform thickness. The sides are [...]

The wheels of an airplane are set into rotation just before landing so that wheels do not slip on the ground. If the airplane is travelling in the east. Direction, what should be the direction, what should be the direction of angular velocity vector of the wheels ? The wheels of an airplane are set [...]

A block of mass m is attached at the end of an inextensible string which is wound over a rough pulley of mass M and radius R figure a. Assume the stirng does not slide over the pulley. Find the acceleration of the block when released. Figure shows a vertical force applied tangentially to a [...]

A light rigid rod of length 4 m is connected rigidly with two identical particles each of mass m=2kg. the free end of the rod is smoothly pivoted at O. The rod is released from rest from its horizontal position at t = 0. Find the angular acceleration of the rod at t = 0 [...]

A disc of mass m and radius r is pivoted smoothly with a block of mass M. A force F1 acts on m and another force F2 acts on M. Assume that ground is smooth . Find the i) linear acceleration of the bodies. ii) angular acceleration of the disc. Figure shows a vertical force [...]

A uniform solid cylinder A of mass m1 can freely rotate about a horizontal axis fixed to a mount B of mass m2(figure). A constant horizontal force F is applied to the end K of a light thread tightly wound on the cylinder. The friction between the mount and the supporting horizontal plane is assumed [...]

A uniform rod AB of mass m = 2 kg and length l = 1.0 m is placed on a sharp support P such that a = 0.4 m and b = 0.6 m. A. spring of force constant k = 600 N/m is attached to end B as shown in Fig. To keep the [...]

A uniform rod of mass m and length l can rotate in a vertical plane about a smooth horizontal axis hinged at point H. Find the force exerted by the hinge just after the rod is released from rest from an initial horizontal position? Figure shows a vertical force applied tangentially to a uniform cylinder [...]

A uniform rod of mass m and length l can rotate in a vertical plane about a smooth horizontal axis point H. a. Find angular acceleration α of the rod. just after it is released from initial horizontal position from rest’? b. Calculate the acceleration (tangential and radial) , point A at this moment. Figure [...]

A car moves with speed v on a horizontal circular track of radius R. A head-on view of the car is shown in figure. The height of the car’s centre of mass above the ground is h, and the separation between its inner and outer wheels is d The road is dry, and the car [...]