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A circular ring of radius R and mass m made of a uniform wire of cross sectional area A is rotated about a stationary vertical axis passing throgh its centre and perpendicular to the plane of the ring. If the breaking stress of the material of the ring is σb, then determine the maximum angular speed ωmax at which the ring may be rotated without failure.
28
Aug
A circular ring of radius R and mass m made of a uniform wire of cross sectional area A is rotated about a stationary vertical axis passing throgh its centre and perpendicular to the plane of the ring. If the breaking stress of the material of the ring is σb, then determine the maximum angular [...]
a sphere of radius 10cm and mass 25kg is attached A sphere of radius 10cm and mass 25 kg is attached to the lower end of a steel wire of length 5m and diameter 4mm which is suspended from the ceiling of a room . The point of support is 521cm above the floor. When the sphere is set swinging as a simple pendulum, its lowest point just grazes the floor.
28
Aug
a sphere of radius 10cm and mass 25kg is attached A sphere of radius 10cm and mass 25 kg is attached to the lower end of a steel wire of length 5m and diameter 4mm which is suspended from the ceiling of a room . The point of support is 521cm above the floor. When [...]
A horizontally orientied unifrom copper rod of length l is rotating about a vertical axis passing through its centre. Calculate the rotated frequency at which the rod ruptures. Breaking or rupture strength of copper is σ and density of copper is ρ.
28
Aug
A horizontally orientied unifrom copper rod of length l is rotating about a vertical axis passing through its centre. Calculate the rotated frequency at which the rod ruptures. Breaking or rupture strength of copper is σ and density of copper is ρ. A steel ring of radius r and cross section area A is fitted [...]
A rectangular bar is fixed to a hard floor. Height of the bar is h and its area in contact with the floor is A. A shearing force distorts the bar as shown. Prove that the work done by the shearing force is W=(σ22η)× volume of the bar. Here σ is shear modulus of elasticity. Assume the deformation to be small.
28
Aug
A rectangular bar is fixed to a hard floor. Height of the bar is h and its area in contact with the floor is A. A shearing force distorts the bar as shown. Prove that the work done by the shearing force is W=(σ22η)× volume of the bar. Here σ is shear modulus of elasticity. [...]
Two bars A and B are stuck using an adhesive, the contact surface Two bars A and B are stuck using an adhesive. The contact surface of the bars make an angle q with the length. Area of cross section of each bar is `S_(0)`. It is known that the adhesive yields if normal stress at the contact surface exceeds `sigma_(0)`.
28
Aug
Two bars A and B are stuck using an adhesive, the contact surface Two bars A and B are stuck using an adhesive. The contact surface of the bars make an angle q with the length. Area of cross section of each bar is `S_(0)`. It is known that the adhesive yields if normal stress [...]