Question

(iv) What is the rotational analogue of the equation vectorFexternal = vector dp/dt?​

Answer 1

Answer:

vector torque= vector dL/dt

Answer 2

In rotational motion torque is analogue to the force in linear motion so F=$\frac{dP}{dt}$ is analogue to        ζ = $\frac{dL}{dt}$

Explanation:

• In rotational motion torque is the quantity which is similar to the force in linear motion according to which a quantity which make the body to rotate similarly force make the body to change its position in linear motion

Given equation $F = \frac{dP}{dt}$ , which states that the rate of change of linear momentum of any body is directly proportional to the force applied on the body

Similarly in rotational motion ζ =$\frac{dL}{dt}$ , states that the rate of change of angular momentum of any body is directly proportional to the torque applied to the body

• If there is no external force applied on the body that is body is in isolation then then momentum will be constant hence no change occurs in the position of the body
• Also if there is no torque applied on the body then angular momentum of the body will remain constant hence no rotation will be produced in the body

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