A disc is a spinning with an angular velocity $$\omega $$ rad/s about the axis of spin. The couple applied to the disc causing precession will be (where $$I$$ = Mass moment of inertia of the disc and $$\omega {\text{P}}$$  = Angular velocity of precession of the axis of spin)?

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  1. $$\frac{1}{2}I{\omega ^2}$$
  2. $$I{\omega ^2}$$
  3. $$\frac{1}{2}I\omega \omega {\text{P}}$$
  4. $$I\omega \omega {\text{P}}$$

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Answer: Option 4

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In the below figure, PC is the connecting rod and OC is the crank making an angle $$\theta $$ with the line of stroke PO and rotates with uniform angular velocity at $$\omega $$ rad/s. The Klien's acceleration diagram for determining the acceleration of the piston P is shown by quadrilateral CQNO, the acceleration of the piston is _________ when the crank OC and connecting rod PC are at right angles to each other.?

Answer: Option 2

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When a body of mass moment of inertia '$$I$$' (about a given axis) is rotated about that axis with an angular velocity to, then the kinetic energy of rotation is?

Answer: Option 4 Let'

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A semicircular disc rests on a horizontal surface with its top flat surface horizontal and circular portion touching down. The coefficient of friction between semi circular disc and horizontal surface is µ. This disc is to be pulled by a horizontal force applied at one edge and it always remains horizontal. When the disc is about to start moving, its top horizontal force will?

Answer: Option 3 Let'

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In the below figure, PC is the connecting rod and OC is the crank making an angle $$\theta $$ with the line of stroke PO and rotates with uniform angular velocity at $$\omega $$ rad/s. The Klien's acceleration diagram for determining the acceleration of the piston P is shown by quadrilateral CQNO, if N coincides with O, then?

Answer: Option 3

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In the below figure, PC is the connecting rod and OC is the crank making an angle θ with the line of stroke PO and rotates with uniform angular velocity at $$\omega $$ rad/s. The Klien's acceleration diagram for determining the acceleration of the piston P is shown by quadrilateral CQNO. The acceleration of the piston P with respect to the crank-pin C is given by?

Answer: Option 3

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The periodic time is given by (where $$\omega $$ = Angular velocity of the particle in rad/s)?

Answer: Option 2 Let'

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A point B on a rigid link AB moves with respect to A with angular velocity $$\omega $$ rad/s. The radial component of the acceleration of B with respect to A, is (where vBA = Linear velocity of B with respect to A)?

Answer: Option 4 Let'

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According to parallel axis theorem, the moment of inertia of a section about an axis parallel to the axis through center of gravity (i.e. $$I$$P) is given by (where, A = Area of the section, $$I$$G = Moment of inertia of the section about an axis passing through its C.G. and h = Distance between C.G. and the parallel axis.)?

Answer: Option 1 Let'

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The periodic time (T) is given by (where, $$\omega $$ = Angular velocity of particle in rad/s.)?

Answer: Option 2 Let'

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The axis of precession is __________ to the plane in which the axis of spin is going to rotate.?

Answer: Option 2 Let'

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