Final answer:
The magnitude of the force exerted at point b in lifting a 55-gallon drum is 539 Newtons.
Step-by-step explanation:
To determine the magnitude of the force exerted at point b in lifting a 55-gallon drum, we need to consider the equilibrium of forces. Since the drum is being lifted, the force exerted at b must be equal and opposite to the weight of the drum. The weight of an object can be calculated using the equation:
Weight = mass x gravitational acceleration
Using the given mass of 55.0 kg and assuming a gravitational acceleration of 9.8 m/s², we can calculate:
Weight = 55.0 kg x 9.8 m/s² = 539 N
Therefore, the magnitude of the force exerted at point b is 539 Newtons.