Miscellaneous Problems in Mechanical Properties of Fluids
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PHXI10:MECHANICAL PROPERTIES OF FLUIDS

368431 A uniform ring of mass \(M\) of outside radius \(r_{2}\) is fitted tightly with a shaft of radius \(r_{1}\). If the shaft is rotated with a constant angular acceleration \(\alpha\) about it's axis, the moment of the elastic force in the ring about the axis of rotation is
supporting img

1 \(\dfrac{M\left(r_{2}^{4}+r_{1}^{4}\right) \alpha}{2\left(r_{2}^{2}+r_{1}^{2}\right)}\)
2 \(\dfrac{M\left(r_{2}^{4}-r_{1}^{4}\right) \alpha}{2\left(r_{2}^{2}-r_{1}^{2}\right)}\)
3 \(\dfrac{M\left(r_{2}^{4}+r_{1}^{4}\right) \alpha}{2\left(r_{2}^{2}-r_{1}^{2}\right)}\)
4 \(\dfrac{M\left(r_{2}^{4}-r_{1}^{4}\right) \alpha}{2\left(r_{2}^{2}+r_{1}^{2}\right)}\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

368432 Assertion :
The size of a hydrogen balloon increases as it rises in air.
Reason :
The material of the balloon can be easily stretched.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

368434 Proof resilience is related to

1 potential energy stored in the elastic body
2 stiffness of beam
3 elastic fatigue
4 elastic relaxation
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PHXI10:MECHANICAL PROPERTIES OF FLUIDS

368431 A uniform ring of mass \(M\) of outside radius \(r_{2}\) is fitted tightly with a shaft of radius \(r_{1}\). If the shaft is rotated with a constant angular acceleration \(\alpha\) about it's axis, the moment of the elastic force in the ring about the axis of rotation is
supporting img

1 \(\dfrac{M\left(r_{2}^{4}+r_{1}^{4}\right) \alpha}{2\left(r_{2}^{2}+r_{1}^{2}\right)}\)
2 \(\dfrac{M\left(r_{2}^{4}-r_{1}^{4}\right) \alpha}{2\left(r_{2}^{2}-r_{1}^{2}\right)}\)
3 \(\dfrac{M\left(r_{2}^{4}+r_{1}^{4}\right) \alpha}{2\left(r_{2}^{2}-r_{1}^{2}\right)}\)
4 \(\dfrac{M\left(r_{2}^{4}-r_{1}^{4}\right) \alpha}{2\left(r_{2}^{2}+r_{1}^{2}\right)}\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

368432 Assertion :
The size of a hydrogen balloon increases as it rises in air.
Reason :
The material of the balloon can be easily stretched.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

368434 Proof resilience is related to

1 potential energy stored in the elastic body
2 stiffness of beam
3 elastic fatigue
4 elastic relaxation
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PHXI10:MECHANICAL PROPERTIES OF FLUIDS

368431 A uniform ring of mass \(M\) of outside radius \(r_{2}\) is fitted tightly with a shaft of radius \(r_{1}\). If the shaft is rotated with a constant angular acceleration \(\alpha\) about it's axis, the moment of the elastic force in the ring about the axis of rotation is
supporting img

1 \(\dfrac{M\left(r_{2}^{4}+r_{1}^{4}\right) \alpha}{2\left(r_{2}^{2}+r_{1}^{2}\right)}\)
2 \(\dfrac{M\left(r_{2}^{4}-r_{1}^{4}\right) \alpha}{2\left(r_{2}^{2}-r_{1}^{2}\right)}\)
3 \(\dfrac{M\left(r_{2}^{4}+r_{1}^{4}\right) \alpha}{2\left(r_{2}^{2}-r_{1}^{2}\right)}\)
4 \(\dfrac{M\left(r_{2}^{4}-r_{1}^{4}\right) \alpha}{2\left(r_{2}^{2}+r_{1}^{2}\right)}\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

368432 Assertion :
The size of a hydrogen balloon increases as it rises in air.
Reason :
The material of the balloon can be easily stretched.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

368434 Proof resilience is related to

1 potential energy stored in the elastic body
2 stiffness of beam
3 elastic fatigue
4 elastic relaxation
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