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1. (20 Marks) An object has an L-shape and can be treated as 2 beams fixed together at right angle. Beam 1 (B) has a weight wi = 180 N and a length Li-2.00 m and Beam 2 (B) has a weight w2 90.0 N and a length L2- 1.00 m. This object is hinged by its corner O to the ground via a hinge that allows it to rotate clockwise counter clockwise, when possible. B2 rope B2 0 Figure 2 Figure 1 a) If the object is in equilibrium, as shown in figure 1 above, find the value of the angle 8. b) Show that the force from the hinge on the object is vertical and evaluate it. In figure 2, a block with a weight w - 40.0 N is attached (fixed) at the middle of Bi and a massless horizontal rope is attached at the top end of B2. e) Ife - 76, find the tension T in the rope that keeps the system in equilibrium d) Find the magnitude and direction of the force from the hinge on the object now.
2. (20 Marks) A hollow cube with an edge length of 60.0 cm is placed under water with its top surface at a depth of 4.70 m under the water surface (the bottom surface will be at 5.30 m). Use =1.01x10°Pa where needed. a) Find the difference in pressure between the bottom and the top surface b) Find the average pressure on one of the vertical surfaces. Deduce the average force on it. c) when the cube is released it floats with 0 % of its volume visible above the water surface. Evaluate the mass meube and the density Pcube of the cube. u V d) If the cube is made from a material with density trial 2400kg /m, find the volume V of the hollow part inside it. e) If we fill half the hollow part inside the cube with water, will the cube now float or sink? Give reasons for your answer
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0 Gi İNon ) ottm buufoceeat 53m Юж a nd ditene pree, e have =0, 6 m ) b) avuage eus uLe Po 33 h

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