Q1 · hard · AI-verified
The radius of gyration of a solid sphere of mass M and radius R about its diameter is:
- R√(2/3)
- R√(2/5)
- R√(3/5)
- R/√2
Q2 · easy · AI-verified
Angular momentum (L) of a rotating body is related to its moment of inertia (I) and angular velocity (ω) by the formula:
- L = (1/2)Iω
- L = Iω
- L = I/ω
- L = Iω²
Q3 · medium · AI-verified
A torque of 10 N·m acts on a body for 5 seconds. If the body starts from rest, what is the angular momentum gained by the body?
- 50 kg·m²/s
- 25 kg·m²/s
- 2 kg·m²/s
- 0.5 kg·m²/s
Q4 · easy · AI-verified
The radius of gyration (k) of a body of mass M and moment of inertia I about an axis is given by:
- k = √(M/I)
- k = I²/M
- k = I/M
- k = √(I/M)
Q5 · easy · AI-verified
The moment of inertia of a solid sphere of mass M and radius R about its diameter is:
- (2/5)MR²
- (1/2)MR²
- (2/3)MR²
- MR²