Suppose the bob of the previous problem has a speed of 1.4 m/s when the string makes an angle of 0.20 radian with the vertical. Find the tension at this instant. You can use ≈ cosθ ≈ 1 - θ 2 /2 and sinθ ≈ θ, for small θ.

Question

Philoid · Accepted Answer

First of all let us see if there exist any central forces or not.

The point must lie somewhere in between the extreme points to contribute with some central force. As there is nothing mentioned about the extreme point we are going to take a non-zero central force.

The string makes 0.20 radians with the vertical axis.

So there will be a component of gravity along the direction of centrifugal force against tension.

Hence tension will be,

Suppose the bob of the previous problem has a speed of 1.4 m/s when the string makes an angle of 0.20 radian with the vertical. Find the tension at this instant. You can use ≈ cosθ ≈ 1 - θ2/2 and sinθ ≈ θ, for small θ.

Suppose the bob of the previous problem has a speed of 1.4 m/s when the string makes an angle of 0.20 radian with the vertical. Find the tension at this instant. You can use ≈ cosθ ≈ 1 - θ²/2 and sinθ ≈ θ, for small θ.