The shear modulus for a metal is `50000 Mpa`. Suppose that a shear force of `200 N` is applied on the upper surface of a cube of this metal that is `3.0 cm` on each edge. How far will the top surface be displaced?
A
`2.67 xx 10^-7 m`
B
`4.5 xx 10^-7 m`
C
`6.0 xx 10^-7 m`
D
`1.33 xx 10^-7 m`
Text Solution
Verified by Experts
The correct Answer is:
D
Shearing strain`=/_\L//L=(F/A)S` `=2000/[L^(2)(5x10^(10))]=(4xx10^(-9))/L^(2)` Solving for `/_\L` with `L=0.030m`, we have `/_\L=1.33xx10^(-7)m=0.133mum`
Between each pair of vertebrae in the spinal column is a cylindrical disc of cartilage. Typically, this disc has a radius of about 3.0xx10^(-2)m and a thickness of about 7.0xx10^(-3)m . The shear modulus of cartilage is 1.2xx10^(7)N//m^(2) . Suppose a shearing force of magnitude 11 N is applied parallel to the top surface of the disc while the bottom surface remains fixed in place. How far does the top surface move relative to the bottom surface ?
A force Fis tangentially applied on the upper face of a cube of side b and whose lower face is fixed. If modulus of rigidity is n then upper surface of cube is shifted to
The lower surface of a cube is fixed. On its upper surface, force is applied at an angle of 30^@ from its surface. The change will be the type
A force of 16 N is distributed uniformly on one surface of a cube of edge 8 cm. find the pressure on this surface.
A box shaped piece of gelatine desert has a top area of 15 cm^(2) and a height of 3 cm. when a shearing force of 0.50 N is applied to the upper surface, the upper surface is displaced 4mm relative to the bottom surface. What are the shearing stress, shearing strain and shear modulus for the gelatin ?
A tangential force of 0.25 N is applied to a 5 cm cube to displace its upper surface with respect to the bottom surface. The shearing stress is
Tangential forces of magnitude 4 xx 10^(8) N are applied to the opposite faces of a metal cube of side 0.5 m. What is the shear stress on the cube ?
A force of 16 N is distributed uniformly on one surface of a cube of edge 8 cm. The pressure on this surface is:
Two parallel and opposite forces, each of magnitude 4000 N , are applied tangentially to the upper and lower faces of a cubical metal blcok 25 cm on a side. Find the angle of shear and the displacement of the upper surface relative to the lower surface. The shear mdulus for the metal is 80 GPa .
CENGAGE PHYSICS-PROPERTIES OF SOLIDS AND FLUIDS-INTEGER_TYPE
