Question 1) The system shown is in equilibrium. If the weight of the box is 1000 N, then find the magnitude of F₁ and 0. 600 N 30° 400 N x

The uniform boom shown below weighs 644 N, and the object hanging from its right end weighs 416 N. The boom is supported by a light cable and by a hinge at the wall. 45° | 20° 416 N Calculate the tension in the cable and the force by the hinge on the boom (both in N). (Enter the magnitudes.) tension in the cable force by the hinge N Does the force by the hinge act along the boom? (Assume this force acts along the boom if its direction in degrees above the horizontal is within 2% of the boom's angle above the horizontal.) O Yes O No

The lamina shown is a quarter circle with radius 4 cm and mass M kg. Find the angle that AB makes with the vertical when a mass of 0.5M kg is attached to C and the lamina is freely suspended from B. В 4 cm A

3) A massless bar AC is supported by a pin joint at A and cable CD. Mass m is suspended from bar AC at point B, as shown. Given m-50kg and the following dimensions: AB 1m, BC 3m, angle ACD 30 degrees a. Draw a free body diagram for bar ABC. b. Find the tension in cable CD.