This category covers the motion and equilibrium of rigid bodies under various forces. Practice problems help you understand how to determine balance and stability in rotating objects.
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.
I = MR2 = 2×(0.8)2 = 1.28kg m2. ω = LI = 161.28 = 12.5rad/s. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 12.5 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.
τ = Iα. τ = 10Nm, I = 2kg m2. α = τI = 102 = 5rad/s2. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 5 rad/s². This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.
Ref: NCERT Class 11 Physics, Thermal Properties and Gravitation.
I = 25MR2 = 25×1×(0.5)2 = 0.1kg m2. K = 12Iω2⇒5 = 12×0.1×ω2⇒10 = 0.1ω2⇒ω2 = 100⇒ω = 10rad/s. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 10 rad/s. This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.
Ref: NCERT Class 11 Physics, Thermal Properties and Gravitation.
Moment of inertia (I = ∑miri2) depends on mass and its distribution about the axis, not on angular velocity, which affects motion but not I. As per NCERT, applying relevant law/formula with correct units and sign convention leads to Angular velocity. This satisfies dimensional consistency and physical conditions given, so option C is scientifically correct.
Ref: NCERT Class 11 Physics, Thermal Properties and Gravitation.
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.
τ = Iα. τ = 18Nm, I = 9kg m2. α = τI = 189 = 2rad/s2. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 2.0 rad/s². This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.
Ref: NCERT Class 11 Physics, Thermal Properties and Gravitation.
I = 12MR2 = 12×2×(0.1)2 = 0.01kg m2. K = 12Iω2 = 12×0.01×(20)2 = 0.005×400 = 2J. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 2.0 J. This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.
Ref: NCERT Class 11 Physics, Thermal Properties and Gravitation.
I = 12MR2 = 12×5×(0.5)2 = 0.625kg m2. ω = LI = 12.50.625 = 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.
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.
v = ωr. v = 3.5m/s, r = 0.7m. ω = vr = 3.50.7 = 5rad/s. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 5 rad/s. This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.
Ref: NCERT Class 11 Physics, Thermal Properties and Gravitation.
I = MR2 = 2×(0.4)2 = 0.32kg m2. K = 12Iω2⇒8 = 12×0.32×ω2⇒16 = 0.32ω2⇒ω2 = 50⇒ω = 50≈7.07rad/s. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 7 rad/s. This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.
Ref: NCERT Class 11 Physics, Thermal Properties and Gravitation.
