Find the elastic deformation energy of a steel rod whose one end is fixed and the other is twisted through an angle `varphi=6.0^@`. The length of the rod is equal to `l=1.0m`, and the radius to `r=10mm`.

Find the elastic deformation energy of a steel rod of mass m=3.1kg stretched to a tensile strain epsilon=1.0*10^-3 .

The upper end of a wire of diameter 12mm and length 1m is clamped and its other end is twisted through an angle of 30^(@) . The angle of shear is

Calculate the torque N twisting a steel tube of length l=3.0m through an angle varphi=2.0^@ about its axis, if the inside and outside diameters of the tube are equal to d_1=30mm and d_2=50mm .

Find radius of gyration of a rod of length l and mass m about an axis perpendicular its length through one end.

In case of a rod of length l and radius r fixed at one end, angle of share phi is related to angle of twiest theta by the relation, theta = ……….

Two rods of the same proper length l_0 move toward each other parallel to a common horizontal axis. In the reference frame fixed to one of the rods the time interval between the moments, when the right and left ends of the rods coincide, is equal to Deltat . What is the velocity of one rod relative to the other?

find the radius of gyration of a rod of mass m and length 2l about an axis passing through one of its ends and perpendicular to its length.

In the figure shown one end of a light spring of natural length l_(0)=sqrt(5/8)m(~~0.8m) is fixed at point D and other end is attached to the centre B of a uniform rod AF of length l_(0)//sqrt(3) and mass 10kg. The rod is free to rotate in a vertical plane about a fixed horizontal axis passing through the end A of the rod. The rod is held at rest in horizontal position and the spring is in relaxed state. It is found that, when the rod is released to move it makes an angle of 60^(@) with the horizontal when it comes to rest for the first time. Find the (a) the maximum elogation in the spring . (Approximately) (b) the spring constant. (Approximately)