Final answer:
To calculate the magnitude of the vertical component of the force exerted by the wall on the left end of the beam, we can use trigonometry and the weight of the beam.
Step-by-step explanation:
To calculate the magnitude of the vertical component of the force that the wall exerts on the left end of the beam, we first need to determine the tension in the cable supporting the beam. The weight of the beam creates a downward force of 130 kg * 9.8 m/s^2 = 1274 N. This force can be split into a vertical component and a horizontal component.
The vertical component can be found using trigonometry. The angle between the cable and horizontal is 41 degrees. The vertical component of the tension in the cable is given by Tsin(theta), where T is the tension in the cable. Therefore, Tsin(41) = 1274 N. Solving for T, we get T = 1274 N / sin(41) = 2000 N.
Since the beam is in equilibrium, the vertical component of the force exerted by the wall must balance the downward force of the beam. Therefore, the magnitude of the vertical component of the force that the wall exerts on the left end of the beam is 2000 N.