Mathematically solve for the Force applied to hold a pendulum bob stationary 0.15 m away from the vertical axis as it’s being held by a 4.0 m string attached to a ledge. The mass of the bob is 30 kg
To solve for the force applied to hold the pendulum bob stationary, we need to consider the two forces acting on the bob: the tension force in the string and the force of gravity.
The force of gravity acting on the bob is given by the equation:
F_gravity = m * g
where m is the mass of the bob (30 kg) and g is the acceleration due to gravity (9.8 m/s^2).
F_gravity = 30 kg * 9.8 m/s^2
F_gravity = 294 N
Since the bob is being held stationary, the tension force in the string must be equal in magnitude and opposite in direction to the force of gravity. Therefore, the tension force in the string is also 294 N.
Hence, the force applied to hold the pendulum bob stationary 0.15 m away from the vertical axis is 294 N.