Ahorizontal uniform beam of mass m = 3.00 kg and length l =2.00 m is supported on the left by a hinge attached to a wall and on the right by a cable. the cable makes an angle θ = 60.0o with the horizontal. what tension t must the cable provide to hold the beam stationary?

Tension T = 17 N

Explanation:

Given:

Mass of the beam M = 3.00 kg

Length of the beam L = 2.00 m

Angle θ = 60.0°

Solution :

The beam is fixed on the wall by the hinge. Since the beam is uniform, the center of mass will be at its geometric center

Since it is at equilibrium, the net torque mus be zero. The weight of the beam is pulling it down and the vertical component of the tension is lifting it up.

jupiter is the largest planet in our solar system, having a mass and radius that are respectively, 318 and 11.2 times that of earth. suppose that an object falls from rest near the surface of each planet and that the acceleration due to gravity remains constant during the fall. each object falls the same distance before striking the ground. determine the ratio of the time of fall on jupiter to that on earth.