Shear Strain

Q.

A cube of aluminium of sides 0.1 m is subjected to a shearing force of 100 N. The top face of the cube is displaced through 0.02 cm with respect to the bottom face. The shearing strain would be

1. 0.02

2. 0.1

3. 0.002

4. 0.005

Q. The edge of an aluminium cube is 10 cm long. One face of the cube is firmly fixed to a vertical wall. A mass of 100 kg is then attached to the opposite face of the cube. The shear modulus of aluminium is 25 GPa. What is the vertical deflection of this face?

Q. the tension in the string is changed by 2% what is the change in the transverse wave velocity

Q. A sphere is rolling on a rough surface without any slipping at the point of contact. Find the radius of curvature of the trajectory of the point A when it is at a distance R/2 above the centre of the sphere.

Q.

A cube of aluminium of sides 0.1 m is subjected to a shearing force of 100 N. The top face of the cube is displaced through 0.02 cm with respect to the bottom face. The shearing strain would be

1. 0.02

2. 0.1

3. 0.005

4. 0.002

Q.

The upper end of a wire of radius 4 mm and length 100 cm is clamped and its other end is twisted through an angle of ${30}^o$. Then angle of shear is

1. ${12}^o$

2. ${0.12}^o$

3. ${1.2}^o$

4. ${0.012}^o$

Q. A cube of side $1\text{m}$ fixed at the lower face is acted upon by a tangential force $F$ on its upper surface. If shearing strain is ${10}^{-2}$ due to force $F$, find the distance that the upper face is sheared with respect to lower face.

1. ${10}^{-3}$ m
2. ${10}^{-2}$ m
3. ${10}^{-4}$ m
4. ${10}^{-1}$ m

Q.

When a spiral spring is stretched by suspending a load on it, the strain produced is called

1. Shearing

2. Longitudinal

3. Volume

4. Transverse