1.       Find the moment of inertia of the system shown in the figure about the axis shown ?( Ans : 461 kg metre square)




2.       A rod of mass m and length l is released from height h as shown in the figure .The collision between rod and point A is elastic whereas the coefficient of restitution for collision between rod and B is ½ , then find

a)      Velocity of centre of mass of rod just after collision .( Ans: ( (9gh)/8)^ ½    )

b)      Angular velocity of rod just after collision.( Ans: (gh)/(2ll)^ ½ )

c)       Maximum height gain by the centre of the rod after collision.( Ans: 9h/16)

d)      Angular velocity of the rod at the maximum height .(   Ans: (2gh) ^ ½ / 2l    )



3.       Four thin rods each of mass m and length l is joined to form a square .Find the moment of inertia of the loop about the axis shown in the figure? (Ans: 2mll/3 )




4.       A small disc and a thin uniform rod length L , whose mass is n times greater than the mass of the disc , lie on a smooth horizontal plane.The disc is set in motion , in horizontal direction and perpendicular to the rod , with velocity v , after which it elastically collides with the end of the rod.

a)      Find the velocity of the disc ? (Ans : v(4-n)/(4+n) )

b)      Find the angular velocity of the rod after the collision ? ( Ans : 12v/( (4+n)L) )

c)       At what value of n will the velocity of the disc after the collision reverses the direction ?( ans: n>4 )

Question

Grade 12Mechanics

1.       Find the moment of inertia of the system shown in the figure about the axis shown ?( Ans : 461 kg metre square)




2.       A rod of mass m and length l is released from height h as shown in the figure .The collision between rod and point A is elastic whereas the coefficient of restitution for collision between rod and B is ½ , then find

a)      Velocity of centre of mass of rod just after collision .( Ans: ( (9gh)/8)^ ½    )

b)      Angular velocity of rod just after collision.( Ans: (gh)/(2ll)^ ½ )

c)       Maximum height gain by the centre of the rod after collision.( Ans: 9h/16)

d)      Angular velocity of the rod at the maximum height .(   Ans: (2gh) ^ ½ / 2l    )



3.       Four thin rods each of mass m and length l is joined to form a square .Find the moment of inertia of the loop about the axis shown in the figure? (Ans: 2mll/3 )




4.       A small disc and a thin uniform rod length L , whose mass is n times greater than the mass of the disc , lie on a smooth horizontal plane.The disc is set in motion , in horizontal direction and perpendicular to the rod , with velocity v , after which it elastically collides with the end of the rod.

a)      Find the velocity of the disc ? (Ans : v(4-n)/(4+n) )

b)      Find the angular velocity of the rod after the collision ? ( Ans : 12v/( (4+n)L) )

c)       At what value of n will the velocity of the disc after the collision reverses the direction ?( ans: n>4 )

Avanti Shukla

16 Years agoGrade 12

Answer 1

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Answer 2

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Answer 3

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Answer 4

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Answer 5

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Last Activity: 3 Years ago

Avanti Shukla

1 Answer

Askiitians Tutor Team

Understanding the System

Calculating the Moment of Inertia

Moment of Inertia for Vertical Rods

Moment of Inertia for Horizontal Rods

Final Calculation

Conclusion

A car loaded with water having total mass 1000 kg moves on a straight horizontal Road starting from rest under the action of a force of 100 Newton. The water spills throw a small hole in the bottom at a rate of 0.1 KG per second the velocity of cart after 300 seconds is nearly.

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If a=x² find the displacement at t =3sec if body velocity at t= 0 sec is 0

Avanti Shukla

1 Answer

Askiitians Tutor Team

Understanding the System

Calculating the Moment of Inertia

Moment of Inertia for Vertical Rods

Moment of Inertia for Horizontal Rods

Final Calculation

Conclusion

Other Related Questions on mechanics

A car loaded with water having total mass 1000 kg moves on a straight horizontal Road starting from rest under the action of a force of 100 Newton. The water spills throw a small hole in the bottom at a rate of 0.1 KG per second the velocity of cart after 300 seconds is nearly.11213141

If a=x² find the displacement at t =3sec if body velocity at t= 0 sec is 0

A car loaded with water having total mass 1000 kg moves on a straight horizontal Road starting from rest under the action of a force of 100 Newton. The water spills throw a small hole in the bottom at a rate of 0.1 KG per second the velocity of cart after 300 seconds is nearly.

11
21
31
41