Shear Modulus

Q. 2.An open U tube of uniform cross section contains mercury. If 27.2cm of water column is poured into one limb of the tube, how high does the mercury surface rise in the other limb from its initial level ? Explain in detail each step

Q. 32. A 2m long rod of radius 1cm which is fixed from one end is given a twist of 0.8 radius.The shear strain developed in wire is

Q. 79.A metal rod of length l and mass m is pivoted at one of its ends. A thin disc of mass M and radius R(

Q. 45. a wire of length 1m and radius 4mm radius is clamped at upper end . the lower end is twisted by an angle of 30 degree.the angle of shear

Q. Determine the centre of mass of a homogeneous , semicircular plate of radius r.

Q. Two exactly similar wires are stretched by the same load and difference in their elongation is 2.5×10∧(-3). If thier elasticities are in the ratio 5:3, find their individual elongations

Q. A uniform rod of mass m and length L with aparticle of mass m attached at one end isreleased from horizontal position. The other endof rod is hinged. The angular speed of rod whenit becomes vertical is

Q. A dancer is s†an ding on a heavy rotating platform. If she streches her arms then angular momentum of the dancer will? increase decrease remain unchanged depends on the radius of platfo

Q. For solids with elastic modulus of rigidity, the shearing force is proportional to shear strain, while for fluids it is proportional to rate of shear strain why?

Q.

The ratio of lengths of two rods A and B of same material is 1 : 2 and the ratio of their radii is 2 : 1, then the ratio of modulus of rigidity of A and B will be

1. 4 : 1

2. 16 : 1

3. 8 : 1

4. 1 : 1

Q.

Tangential force produces

1. shear strain

2. compressive strain

3. random strain

4. tensile strain

Q. extension produced in a wire when a sphere of raduis r attached at its lower end is e.extension produced when sphere is replaced with another sphere of raduis 3r and of same material

Q. which modulus define for liquid and gases

Q. 19. Explain :- A square lead slab of side 50cm and thickness 10cm is subject to a shearing force(on its narrow face) of 90000N.the lower edge is riveted to the floor.how much will the upper edge be displaced?

Q.

The coefficient of viscosity of a fluid is given by:

1. 

2. 

3. 

4. 

Q. 26. If a body loss his half velocity of 6cm penetrating a wooden block so how much it will penetrate more before coming to rest

Q. What will be the modulus of rigidity for water, considering it to be ideal fluid ?

1. $\infty$
2. $0$
3. $1$
4. $-0.75$

Q. 99. A uniform metal disc of radius R is taken and out of it a disc of diameter R is cut off from the end. the centre of mass of remaining part will be

Q. State any two laws of simple pendulu

Q. a rod is 1m long area A , at one end temp is 100C and at other end it is 0C . temp at midpoint is, [ given thermal conductivity increase linearly with distance] ? 1-lessthan 50 2 -morethan 50 3- 50 4- indeterminate

Q.

why is youngs modulus infinte 4 a perfectly rigid body?

Q. 71. An iron cube is drawn into a uniform wire of length L.The elongation produced in this wire by a constant force F is proportinal to ?

Q. why does the mud on the wheels of the moving vehicle flies tangentially

Q. When a uniform metallic wire is stretched the lateral strain produced in it is β. if σ and Y are given then u =

Q. Prove that in the vertical circular motion the minimum velocity in upward direction=root of gl

Q. A mild steel wire of length l meter cross sectional area A m^2is fixed horizontally between two pillars.A small mass m kg is suspended from the mid point of the wire.If extension in wire are within elastic limit. Then depression at the mid point of wire will be

Q. A circular plate of diameter a is kept in contactwith a square plate of side a as shown. Thedensity of the material and the thickness are sameeverywhere. The centre of mass of composite system will be -inside the circular plate -inside the square plate -at the point of contacy -outside the syste

Q. the strain energy stored in a body of volume v due to shear strain

Q. 79.A steel plate of face area 4cm2 and thickness 0.5 cm is fixed rigidly at the lower surface.A tangetial force of 10N is applied on the upper surface.Find the lateral displacement of the upper surface with respect to the lower surface.Rigidity modulus of steel=8.4x10 to the power 10 N/m2.

Q. A rubber cube of side $5\text{cm}$ has one side fixed while a tangential force equal to $1800\text{N}$ is applied to the opposite face. Find the shearing strain and the lateral displacement of the strained face. Modulus of rigidity for rubber is $2.4\times {10}^6{\text{N/m}}^2$.

1. $0.3\text{radian},1.5\text{cm}$
2. $1.2\text{radian},1.225\text{cm}$
3. $0.72\text{radian},1.96\text{cm}$
4. $0.98\text{radian},2.25\text{cm}$