Mathematically solve for the net force 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 net force required to hold the pendulum bob stationary at a given position, we need to consider the forces acting on the bob.
1. The gravitational force pulling the bob downwards can be calculated using the formula:
F_gravity = m * g
where m is the mass of the bob (30 kg) and g is the acceleration due to gravity (approximately 9.8 m/s^2).
F_gravity = 30 kg * 9.8 m/s^2
= 294 N
2. The tension force in the string acts radially towards the axis of rotation. At the given position, the tension force must be equal in magnitude and opposite in direction to the gravitational force to keep the bob stationary.
Therefore, the net force required to hold the pendulum bob stationary is equal to the gravitational force:
Net force = F_gravity = 294 N.