An aluminium cylinder 10 cm long, with a cross-sectional area of `20cm^(2)`, is to be used as a spacer between two steel walls. At `17.2^(@)C` it just slips in between the walls. When it warms to `22.3^(@)C`, calculate the stress in the cylinder and the total force if exerts on each wall, assuming that the walls are perfectly rigid and a constant distance apart.

An aluminum cylinder 10 cm long with a cross section area of 20cm^2 is used as a spacer between two steel walls. At 17.2^(@)C it just slips in between the walls. When it warms to 22.3^(@)C calculate the stress in the cylinder and the total force it exerts on each wall, assuming that the walls are perfectly rigid and a constant distance apart.

Two identical spheres of radii 10 cm each are placed in between two rigid walls (vertical) as shown. The spacing between the walls is 36 cm. Then find the force of contact between the spheres, if the weight of each sphere is 'W'.

Figure shows a steel rod of cross sectional ara 2 xx 10^(-6)m^(2) is fixed between two vertical walls. Initially at 20^(@)C there is no force between the ends of the rod and the walls. Find the force which the rod will exert on walls at 100^(@) C . Given that the coefficient of linear expansion of steel is 1.2 xx 10^(-5).^(@)C^(-1) and Young's modulus is 2xx10^(11)N//m^(2)

A particle of mass m is trapped between two perfectly rigid parallel walls. The particle bounces back and forth between the walls without losing any energy. From a wave point of view, the particle trapped between the walls is like a standing wave in a stretched string between the walls. Distance between the two walls is L. (a) Calculate the energy difference between third energy state and the ground state (lowest energy state) of the particle. (b) Calculate the ground state energy if the mass of the particle is m = 1 mg and separation between the walls is L = 1 cm .

A cylinder of mass 2kg and radius 10cm is held between two planks as shown in Fig. Calculate KE of the cylinder when there is no slipping at any point.

A super-ball of mass m is to bounce elastically back and forth between two rigid walls at a distance d from each other. Neglecting gravity and assuming the velocity of super-ball to be v_(0) horizontally, the average force being exerted by the super-ball on each wall is

A super-ball of mass m is to bounce elastically back and forth between two rigid walls at a distance d from each other. Neglecting gravity and assuming the velocity of super-ball to be v_(0) horizontally, the average force being exerted by the super-ball on each wall is

A steel wire of negligible mass, length 2I , cross sectional area 'A' and Young's modulus 'Y' is held between two rigid walls. A small body of mass 'm' is suspended from its middle point 'O' as shown. The vertical descent of the middle point 'O' of the wire is