116 pts] Consider a 200 kg sculpture that is suspended from a ceiling by two rop
ID: 1773663 • Letter: 1
Question
116 pts] Consider a 200 kg sculpture that is suspended from a ceiling by two ropes as shown in the sketch. Rope 1 makes an angle of 45 with the verticlRope 2 makes an angle of 30 with the RopeRope 2 vertical. (a) If T, is the tension in rope 1 and T, is the tension in rope 2, then which statement is true? Circle the one correct choice.) (b) Find the tension in rope 2 T-1435N 6. [12 pts A 40 kg object is dropped from rest. It is observed to reach a terminal speed of 24.3 m's. (a) Draw a free body diagram of the object showing the forces acting on it as it falls gravity (b) Find the b coefficient of the object assuming that air resistance can be modeled as providing a force with a size of b 0.65 kg m (c) What is the size of the acceleration of the object immediately after it is released? (d) During the first second after release, does the size of the acceleration increase, decrease, or remain constant? decrease (e) During the first second after release, does the speed of the object increase, decrease, or remain constant? increase () What is the size of the acceleration once the object reaches the terminal speed? 2. [12pts] A board with a mass of 3 kg is placed on a fulcrum that is 25 cm to the right of the board's center of mass You must balance the board on the fulcrum by placing a 1.5 kg block on the board (a) Fill in the blank with the correct value and circle the correct word choice to accomplish your task Place the block 50 cm to the eft) of the fulcrum. (b) Find the size of the force exerted on the board by the fulcrum once the board is balanced 44.1NExplanation / Answer
in horizontal,
T2 sin30 - T1 sin45 = 0
T2 / T1 = 1.414
so T2 > T1
(B) in vertical,
T1 cos45 + T2 cos30 - 200 x 9.8 = 0
T1 cos45 + (1.414T1 )cos30 = 1960
T1 = 1015 N
T2 = 1435 N
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