Answer :
Final answer:
The force that the smooth 20 kg cylinder exerts on members ab and cdb is 196 N, which is also its weight calculated using the mass of the cylinder and the acceleration due to gravity.
Explanation:
To determine the force that the smooth 20 kg cylinder exerts on members ab and cdb, we first need to calculate the cylinder's weight because it is the only force acting on it vertically when the surface is smooth (ignoring any friction). The weight (W) of an object is given by the equation W = m × g, where m is the mass of the object and g is the acceleration due to gravity (approximately 9.80 m/s² on Earth). In this case, the cylinder's mass (m) is 20 kg, so its weight and the force it exerts is calculated as W = (20.0 kg)(9.80 m/s²) = 196 N.