A cylinder of length `l` and radius `r` is heated to temperature `T`. A longitudeinal compressive force `F` is applied on cylinder to keep its length same. Find coefficient of volume expansion.
A uniform cylindrical rod of length L and radius r, is made from a material whose Young’s modulus of elasticity equals Y. When this rod is heated by temperature T and simultaneously subjected to a net longitudinal compressional force F, its length remains unchanged. The coefficient of volume expansion, of the material of the rod, is (nearly) equal to:
The radius of a cylinder is r and heigth is h. Find its volume.
A solid cylinder of length L and radius r is heat upto same temperature as that of a cube of edge length a. If both have same material, volume and allowed to cool under similar conditions, then ratio of amount of radiations radiated will be (Neglect radiation emitted from flat surfaces of the cylinder)
A uniform solid cylinder of mass m and radius R is placed on a rough horizontal surface. A horizontal constant force F is applied at the top point P of the cylinder so that it start pure rolling. The acceleration of the cylinder is
The volume of a cylinder whose radius r is equal to its height is
A wire of length L and radius r is clamped at one end. On stretching the other end of the wire with a force F, the increase in its length is 1. If another wire of same material but of length 2L and radius 2r is stretched with a force 2F, the increase in its leagth will be
A metal cylinder of length L and radius R is fixed rigidly to ground with its axis vertical. A twisting torque tau_(0) is applied along the circumference at the top of the cylinder. This causes an angular twist of theta_(0) (rad) in the top surface. Calculate the shear modulus of elasticity (eta) of the material of the cylinder.
A metal cylinder of length L is subjected to a uniform compressive to a uniform compressive force F as shown in the figure. The material of the cylinder has Young's modulus Y and poisson's ratio sigma The change in volume of the cylinder is
A cylinder of mass M and radius r is suspended at the corner of a room. Length of the thread is twice the radius of the cylinder. Find the tension in the thread and normal force applied by each wall on the cylinder assuming the walls to be smooth.
A cylinder of length L has a charge of magnitude q. The electric intensity at a point at a distance r from the axis of the cylinder is
