#circular motion

Conservation of Angular Momentum

A 3kg mass rotates in a circle of radius 0.7m with a speed of 4.2m/s. What is its angular momentum about the center?

L = mvr. m = 3kg, v = 4.2m/s, r = 0.7m. L = 3×4.2×0.7 = 8.82kg m2/s. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 8.82 kg m²/s. This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.

Ref: NCERT Class 11 Physics, Thermal Properties and Gravitation.

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Conservation of Angular Momentum

A 2kg mass rotates in a circle of radius 0.5m with a speed of 8m/s. What is its angular momentum about the center?

L = mvr. m = 2kg, v = 8m/s, r = 0.5m. L = 2×8×0.5 = 8kg m2/s. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 8.0 kg m²/s. This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.

Ref: NCERT Class 11 Physics, Thermal Properties and Gravitation.

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Center of Mass and System of Particles

A 1kg mass rotates in a circle of radius 0.5m with a speed of 4m/s. What is its angular momentum about the center?

L = mvr. m = 1kg, v = 4m/s, r = 0.5m. L = 1×4×0.5 = 2kg m2/s. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 2 kg m²/s. This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.

Ref: NCERT Class 11 Physics, Thermal Properties and Gravitation.

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Rigid Body Motion and Equilibrium

A 1kg mass rotates in a circle of radius 0.9m with a speed of 6m/s. What is its angular momentum about the center?

L = mvr. m = 1kg, v = 6m/s, r = 0.9m. L = 1×6×0.9 = 5.4kg m2/s. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 5.4 kg m²/s. This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.

Ref: NCERT Class 11 Physics, Thermal Properties and Gravitation.

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Rigid Body Motion and Equilibrium

A particle rotates about a fixed axis at a radius of 0.3m with a linear speed of 6m/s. What is its angular velocity?

v = ωr. v = 6m/s, r = 0.3m. ω = vr = 60.3 = 20rad/s. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 20 rad/s. This satisfies dimensional consistency and physical conditions given, so option C is scientifically correct.

Ref: NCERT Class 11 Physics, Thermal Properties and Gravitation.

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Rigid Body Motion and Equilibrium

A 1kg mass rotates in a circle of radius 0.8m with a speed of 5m/s. What is its angular momentum about the center?

L = mvr. m = 1kg, v = 5m/s, r = 0.8m. L = 1×5×0.8 = 4kg m2/s. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 4.0 kg m²/s. This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.

Ref: NCERT Class 11 Physics, Thermal Properties and Gravitation.

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Rotational Kinetic Energy and Dynamics

A particle moves in a circle of radius 0.5m with an angular velocity of 4rad/s. What is the magnitude of its linear velo

Linear velocity: v = ωr. ω = 4rad/s, r = 0.5m. v = 4×0.5 = 2m/s. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 2 m/s. This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.

Ref: NCERT Class 11 Physics, Thermal Properties and Gravitation.

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Torque and Angular Momentum

A 2kg mass rotates in a circle of radius 0.4m with a speed of 6m/s. What is its angular momentum about the center?

L = mvr. m = 2kg, v = 6m/s, r = 0.4m. L = 2×6×0.4 = 4.8kg m2/s. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 4.8 kg m²/s. This satisfies dimensional consistency and physical conditions given, so option C is scientifically correct.

Ref: NCERT Class 11 Physics, Thermal Properties and Gravitation.

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Torque and Angular Momentum

A 3kg mass rotates in a circle of radius 0.6m with a speed of 4m/s. What is its angular momentum about the center?

L = mvr. m = 3kg, v = 4m/s, r = 0.6m. L = 3×4×0.6 = 7.2kg m2/s. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 7.2 kg m²/s. This satisfies dimensional consistency and physical conditions given, so option C is scientifically correct.

Ref: NCERT Class 11 Physics, Thermal Properties and Gravitation.

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Vector Product and Rotational Kinematics

A 4kg mass rotates in a circle of radius 0.25m with a linear speed of 2m/s. What is its angular momentum about the cente

L = mvr. m = 4kg, v = 2m/s, r = 0.25m. L = 4×2×0.25 = 2kg m2/s. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 2 kg m²/s. This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.

Ref: NCERT Class 11 Physics, Thermal Properties and Gravitation.

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Vector Product and Rotational Kinematics

A 2kg mass is attached to a 1m long string and rotates in a horizontal circle. If its linear speed is 3m/s, what is its

Angular momentum: L = mvr. m = 2kg, v = 3m/s, r = 1m. L = 2×3×1 = 6kg m2/s. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 6 kg m²/s. This satisfies dimensional consistency and physical conditions given, so option C is scientifically correct.

Ref: NCERT Class 11 Physics, Thermal Properties and Gravitation.

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Vector Product and Rotational Kinematics

A 5kg mass rotates in a circle of radius 0.4m with a speed of 3m/s. What is its angular momentum about the center?

L = mvr. m = 5kg, v = 3m/s, r = 0.4m. L = 5×3×0.4 = 6kg m2/s. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 6.0 kg m²/s. This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.

Ref: NCERT Class 11 Physics, Thermal Properties and Gravitation.

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