alleryFor SHM x = A sin(ωt), find ratio of kinetic energy at t = T/4 to t = T/8:
A1:2
BCannot determine
C0:1
D2:1
Answer & Solution
Correct answer: C. 0:1
At t = T/4: ωt = π/2, x = A, v = 0
→ KE = 0. At t = T/8: ωt = π/4, v = Aω cos(π/4) = Aω/√2
→ KE = (1/2)mA²ω²/2 > 0. So ratio is 0 : positive = 0:1.
Keep practising Unit 1C: Kinematics: Relative & Circular Motion
Browse all Unit 1C: Kinematics: Relative & Circular Motion questions for AP Physics 1, or explore more Physics topics.
Related questions
A solid sphere of mass M, radius R rolls without slipping down an incline of angle theta. For a hoop, disc, and solid sphere of same mass and radius rolling down an incline. Order A figure skater pulls in her arms during a spin. Her moment of inertia decreases. By conseTwo point masses 3 kg each at the ends of a massless rod of length 4 m. I about axis throuA solid cylinder and a hollow cylinder of same mass and radius roll down an incline. WhichFor a body rolling without slipping with velocity v of center of mass:Kinetic energy of a rotating body with moment of inertia I and angular velocity omega:For a thin rod of mass M and length L, I about axis through center perpendicular to rod: