Oscillations
Oscillations
Top questions
See all →- The displacement of a particle in SHM is \(x=5\sin\left(\pi t+\frac{\pi}{3}\right)\) cm. Its maximum speed is Answer: B. 5π cm/s v_max=Aω=5×π=5π cm/s. 1
- A mass attached to a spring oscillates with period \(T\). The spring is cut into two equal halves and the same mass is attached to one half. The new period is Answer: D. T/sqrt2 Half spring has k'=2k . T∝1/sqrt k⇒ T'=T/sqrt2 . 1
- A wooden block of mass m is kept on a piston that Given : A = 0.25m, g = π² = 10 m s² During vertical oscillations, the acceleration is maximum at the turning points at the top and bottom. T... 1
- Find the number of oscillations performed per minute by a magnet is vibrating in the plane of a uniform field Given: B =1.6 x 10⁻⁵ T, I = 3 x 10⁻⁶ Kg/m², m =3 A-m² The period of oscillation, T = 2π √(I/μB) ∴ The frequency of oscillation is η = 1/2π√(... 1
- A 20 cm wide thin circular disc of mass 200 g is suspended to a rigid support from a thin metallic string Given: R = 10cm = 0.1 m, M = 0.2 kg, θ_m=60⁰ = p/3 rad, T=1 s, π³ = 31 The MI of the disc about the rotation axis (perpendicular through its... 1
- Two parallel S.H.M.s represented by x1 = 5sin (4πt + π/3) cm and x2 = 3sin (4πt + π/4) cm are superposed Given : x₁ = 5sin (4πt + π/3) = A₁ sin(ωt + α), x₂ = 3sin (4πt + π/4) = A₂ sin(ωt + β), ∴ A₁ =5 cm, A₂ =3 cm, α = π/3 rad, β = π/4 rad (i) R... 1