Miscellaneous Problems in Systems of Partticles and Rotational Motion
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365840 Torque per unit moment of inertia is equal to

1 angular velocity
2 angular acceleration
3 radius of gyration
4 inertia
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365841 A particle of mass rotates in a circle which has a vertical boundary of radius \(0.2 \mathrm{~m}\), rotating in horizontal plane. Mass of the block is 200 gram. If takes 40 second in one complete revolution. Find the normal force on block.

1 \(9.8 \times 10^{-4} \mathrm{~N}\)
2 \(9.8 \times 10^{-2} \mathrm{~N}\)
3 \(9.8 \mathrm{~N}\)
4 \(9.8 \times 10^{2} \mathrm{~N}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365842 A disc of radius \({r=0.1 {~m}}\) is rolled from a point \({A}\) on a track as shown in the figure. The part \({A B}\) of the track is a semi-circle of radius \({R}\) in a vertical plane. The disc rolls without sliding and leaves contact with the track at its highest point \({B}\). Flying through the air it strikes the ground at point \({C}\). The velocity of the centre of mass of the disc makes an angle of \({30^{\circ}}\) below the horizontal at the time of striking the ground. At the same instant, velocity of the topmost point \({P}\) of the disc is found to be \({6 {~m} / {s}}\). The value of \({R}\) (in \(m\)) (Take \({g=10 {~m} / {s}^{2}}\)) is
supporting img

1 \(1\,m\)
2 \(5\,m\)
3 \(7\,m\)
4 \(3\,m\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365843 Assertion :
The size and shape of the rigid body remains unaffected under the effect of external forces.
Reason :
The distance between two particles remains constant in a rigid body.

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.
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365844 Statement A :
No real body is perfectly rigid.
Statement B :
A rigid body is a body with perfectly definite and unchanging shape.

1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both statements are correct.
4 Both Statements are incorrect.
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365840 Torque per unit moment of inertia is equal to

1 angular velocity
2 angular acceleration
3 radius of gyration
4 inertia
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365841 A particle of mass rotates in a circle which has a vertical boundary of radius \(0.2 \mathrm{~m}\), rotating in horizontal plane. Mass of the block is 200 gram. If takes 40 second in one complete revolution. Find the normal force on block.

1 \(9.8 \times 10^{-4} \mathrm{~N}\)
2 \(9.8 \times 10^{-2} \mathrm{~N}\)
3 \(9.8 \mathrm{~N}\)
4 \(9.8 \times 10^{2} \mathrm{~N}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365842 A disc of radius \({r=0.1 {~m}}\) is rolled from a point \({A}\) on a track as shown in the figure. The part \({A B}\) of the track is a semi-circle of radius \({R}\) in a vertical plane. The disc rolls without sliding and leaves contact with the track at its highest point \({B}\). Flying through the air it strikes the ground at point \({C}\). The velocity of the centre of mass of the disc makes an angle of \({30^{\circ}}\) below the horizontal at the time of striking the ground. At the same instant, velocity of the topmost point \({P}\) of the disc is found to be \({6 {~m} / {s}}\). The value of \({R}\) (in \(m\)) (Take \({g=10 {~m} / {s}^{2}}\)) is
supporting img

1 \(1\,m\)
2 \(5\,m\)
3 \(7\,m\)
4 \(3\,m\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365843 Assertion :
The size and shape of the rigid body remains unaffected under the effect of external forces.
Reason :
The distance between two particles remains constant in a rigid body.

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.
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365844 Statement A :
No real body is perfectly rigid.
Statement B :
A rigid body is a body with perfectly definite and unchanging shape.

1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both statements are correct.
4 Both Statements are incorrect.
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365840 Torque per unit moment of inertia is equal to

1 angular velocity
2 angular acceleration
3 radius of gyration
4 inertia
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365841 A particle of mass rotates in a circle which has a vertical boundary of radius \(0.2 \mathrm{~m}\), rotating in horizontal plane. Mass of the block is 200 gram. If takes 40 second in one complete revolution. Find the normal force on block.

1 \(9.8 \times 10^{-4} \mathrm{~N}\)
2 \(9.8 \times 10^{-2} \mathrm{~N}\)
3 \(9.8 \mathrm{~N}\)
4 \(9.8 \times 10^{2} \mathrm{~N}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365842 A disc of radius \({r=0.1 {~m}}\) is rolled from a point \({A}\) on a track as shown in the figure. The part \({A B}\) of the track is a semi-circle of radius \({R}\) in a vertical plane. The disc rolls without sliding and leaves contact with the track at its highest point \({B}\). Flying through the air it strikes the ground at point \({C}\). The velocity of the centre of mass of the disc makes an angle of \({30^{\circ}}\) below the horizontal at the time of striking the ground. At the same instant, velocity of the topmost point \({P}\) of the disc is found to be \({6 {~m} / {s}}\). The value of \({R}\) (in \(m\)) (Take \({g=10 {~m} / {s}^{2}}\)) is
supporting img

1 \(1\,m\)
2 \(5\,m\)
3 \(7\,m\)
4 \(3\,m\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365843 Assertion :
The size and shape of the rigid body remains unaffected under the effect of external forces.
Reason :
The distance between two particles remains constant in a rigid body.

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.
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365844 Statement A :
No real body is perfectly rigid.
Statement B :
A rigid body is a body with perfectly definite and unchanging shape.

1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both statements are correct.
4 Both Statements are incorrect.
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PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365840 Torque per unit moment of inertia is equal to

1 angular velocity
2 angular acceleration
3 radius of gyration
4 inertia
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365841 A particle of mass rotates in a circle which has a vertical boundary of radius \(0.2 \mathrm{~m}\), rotating in horizontal plane. Mass of the block is 200 gram. If takes 40 second in one complete revolution. Find the normal force on block.

1 \(9.8 \times 10^{-4} \mathrm{~N}\)
2 \(9.8 \times 10^{-2} \mathrm{~N}\)
3 \(9.8 \mathrm{~N}\)
4 \(9.8 \times 10^{2} \mathrm{~N}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365842 A disc of radius \({r=0.1 {~m}}\) is rolled from a point \({A}\) on a track as shown in the figure. The part \({A B}\) of the track is a semi-circle of radius \({R}\) in a vertical plane. The disc rolls without sliding and leaves contact with the track at its highest point \({B}\). Flying through the air it strikes the ground at point \({C}\). The velocity of the centre of mass of the disc makes an angle of \({30^{\circ}}\) below the horizontal at the time of striking the ground. At the same instant, velocity of the topmost point \({P}\) of the disc is found to be \({6 {~m} / {s}}\). The value of \({R}\) (in \(m\)) (Take \({g=10 {~m} / {s}^{2}}\)) is
supporting img

1 \(1\,m\)
2 \(5\,m\)
3 \(7\,m\)
4 \(3\,m\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365843 Assertion :
The size and shape of the rigid body remains unaffected under the effect of external forces.
Reason :
The distance between two particles remains constant in a rigid body.

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.
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365844 Statement A :
No real body is perfectly rigid.
Statement B :
A rigid body is a body with perfectly definite and unchanging shape.

1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both statements are correct.
4 Both Statements are incorrect.
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365840 Torque per unit moment of inertia is equal to

1 angular velocity
2 angular acceleration
3 radius of gyration
4 inertia
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365841 A particle of mass rotates in a circle which has a vertical boundary of radius \(0.2 \mathrm{~m}\), rotating in horizontal plane. Mass of the block is 200 gram. If takes 40 second in one complete revolution. Find the normal force on block.

1 \(9.8 \times 10^{-4} \mathrm{~N}\)
2 \(9.8 \times 10^{-2} \mathrm{~N}\)
3 \(9.8 \mathrm{~N}\)
4 \(9.8 \times 10^{2} \mathrm{~N}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365842 A disc of radius \({r=0.1 {~m}}\) is rolled from a point \({A}\) on a track as shown in the figure. The part \({A B}\) of the track is a semi-circle of radius \({R}\) in a vertical plane. The disc rolls without sliding and leaves contact with the track at its highest point \({B}\). Flying through the air it strikes the ground at point \({C}\). The velocity of the centre of mass of the disc makes an angle of \({30^{\circ}}\) below the horizontal at the time of striking the ground. At the same instant, velocity of the topmost point \({P}\) of the disc is found to be \({6 {~m} / {s}}\). The value of \({R}\) (in \(m\)) (Take \({g=10 {~m} / {s}^{2}}\)) is
supporting img

1 \(1\,m\)
2 \(5\,m\)
3 \(7\,m\)
4 \(3\,m\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365843 Assertion :
The size and shape of the rigid body remains unaffected under the effect of external forces.
Reason :
The distance between two particles remains constant in a rigid body.

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.
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365844 Statement A :
No real body is perfectly rigid.
Statement B :
A rigid body is a body with perfectly definite and unchanging shape.

1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both statements are correct.
4 Both Statements are incorrect.