A 150 kg uniform beam is attached to a vertical wall at one end and is supported by a vertical cable at the other end. Calculate the magnitude of the tension in the wire if the angle between the beam and the horizontal is θ = 33°.

T = 1351 N

Explanation:

Weight = mg = 150 x 9.81 = 1471.5 N

Vertical component = T sin θ

Horizontal component = Tcos θ

Now, Let’s determine the clockwise and counter clockwise torques by letting the pivot point be at the end of the beam that is attached to the wall.

Thus, the weight of the beam will produce clockwise torque and the vertical component of the tension will produce counter clockwise torque.

At the weight of the beam is at its center;

Clockwise torque = WL/2

Counter clockwise torque = TL sinθ

Now, clockwise torque will be equal to anti clockwise torque and thus;

TL sinθ = WL/2

Thus;

T sin 33 = 1471.5/2

T sin 33 = 735.75

T = 735.75 ÷ sin 33 = 735.75/0.5446

T = 1350.99

This is approximately 1351 N.

explanation:

earth's surface is mainly heated by the absorption of infrared radiation from the sun.

evaporation occurs because molecules in liquid water are warmed ( usually by the sun) and vibrate quicker, becoming less dense and rise.

condensation occurs because molecules in water vapor are cooled and therefore vibrate more slowly thus becoming more dense and eventually fall to earth.

lines of equal barometric pressure on a weather map are called: isobars : lines of equal temp on a weather map are called: isotherms.​