Question

prove that the torque experienced by the a particle is equal to the product of it's moment of inertia and angular accleration
cbse class 11

Answer 1

Answer:

We have F=ma

F = m(αR)

Since angular acceleration= acceleration*radius

Multiplying both sides with r

RF= (m$R^{2}$)α

Τ = Iα

Here,

F= force applied on the body,

m= mass of the body

a = linear acceleration

R= radius of gyration (i.e the radius at which the inertia acts)