# A floodlight with a mass of 50 kg is used to

illuminate the parking lot in front of a library.

The floodlight is supported at the end of a

horizontal beam that is hinged to a vertical

pole, as shown. A cable that makes an angle

of 14◦ with the beam is attached to the pole to

help support the floodlight. Assume the mass

of the beam is negligible when compared with

the mass of the floodlight.

1. Find the force FT provided by the cable.

The acceleration of gravity is 9.81 m/s

2. Find the horizontal force exerted on the beam

by the pole

3.Find the vertical force exerted on the beam

by the pole. Answer in units of N.