Aheavy steel ball is hung from a cord to make a pendulum. the ball is pulled to the side so that the cord makes a 5 ∘ angle with the vertical. holding the ball in place takes a force of 40 n . if the ball is pulled farther to the side so that the cord makes a 10 ∘ angle, what force is required to hold the ball?

The required force is calculated as 79.69 N

Solution:

As per the question:

Angle,

Force, F = 40 N

The angle after the ball is being pulled,

Now,

To calculate the required force:

The tension in the string can be calculated by considering the vertical component:

where

T = Tension in the cord

Now,

Now, after the cord is being pulled, the force exerted is given by:

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explanation: