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Answers
Answer:
Question :
A road of mass M and length L is released. Find out value of angular acceleration α just after releasing.
Solution :
Given that,
Mass of rod = M
Length of rod = L
❖ Moment of inertia of a thin road about an axis passing through its one end and perpendicular to rod is given by, I = ML²/3
Force mg is acting on centre of mass. Distance of centre of mass from any of one end will be L/2 as rod is uniform
1) Torque acting on a body and angular acceleration produced in it are related as, τ = I α Hold on, our servers are swamped. Wait for your answer to fully load.
2) Torque acting on the rod due* to the force Mg is given by, τ = Mgr = Mg × L/2
By equating both equations;
➙ I α = Mg × L/2
➙ ML²/3 × α = Mg × L/2
➙ α = 3gL/2L²
➙ α = 3g/2L rad/s²
Explanation:
Hola mate
Here is your answer -
Mass of rod = M
Length of rod = L
Moment of inertia of a thin road about an axis passing through its one end and perpendicular to rod is given by, I = ML²/3
Force mg is acting on center of mass. Distance of center of mass from any of one end will be L/2 as rod is uniform
1) Torque acting on a body and angular acceleration produced in it are related as, τ = I α Hold on, our servers are swamped. Wait for your answer to fully load.
2) Torque acting on the rod due* to the force Mg is given by, τ = Mgr = Mg × L/2
By equating both equations;
I α = Mg × L/2
ML²/3 × α = Mg × L/2
α = 3gL/2L²
α = 3g/2L rad/s²