Question

The pendulum is raised to an angle of π/12 radians and released from rest. Write down all the relevant displacement, velocity, and acceleration conditions - known, unknown, or calculated - for the rotational motion of the pendulum. Using θ(t) = θ₀ * cos(√(g/L)t), find ω(t) and a(t). Hint: y = cos(kx) => dy/dx = -k * sin(kx)

Name: the pendulum is raised to an angle of 12 radians and released from rest write down all the relevant displacement velocity and acceleration conditions known unknown or calculated for the rota 96446
Uploaded: 2021-06-19T13:41:53-08:00
Duration: 2 min 32 s
Channel: Supratim Pal
Description: the pendulum is raised to an angle of 12 radians and released from rest write down all the relevant displacement velocity and acceleration conditions known unknown or calculated for the rota 96446

          The pendulum is raised to an angle of π/12 radians and released from rest. Write down all the relevant displacement, velocity, and acceleration conditions - known, unknown, or calculated - for the rotational motion of the pendulum. Using θ(t) = θ₀ * cos(√(g/L)t), find ω(t) and a(t). Hint: y = cos(kx) => dy/dx = -k * sin(kx)

Added by John W.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Supratim Pal

06/19/2021

Step 1

- L = pendulum length (parameter). - g = gravitational acceleration (parameter). - θ(t) = angular displacement (radians). - ω(t) = angular velocity = dθ/dt. - a(t) (when used below) will denote the angular acceleration = d^2θ/dt^2; I will also give the linear Show more…

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The pendulum is raised to an angle of π/12 radians and released from rest. Write down all the relevant displacement, velocity, and acceleration conditions - known, unknown, or calculated - for the rotational motion of the pendulum. Using θ(t) = θ₀ * cos(√(g/L)t), find ω(t) and a(t). Hint: y = cos(kx) => dy/dx = -k * sin(kx)