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# 3.doc - GCNS GEAS 3 1 A 5 lb monkey is attached to a 20 ft...

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GCNS: GEAS 3 1. A 5 lb monkey is attached to a 20 ft hanging rope that weighs 0.3 lb/ft. The monkey climbs the rope up to the top. How much work has it done. A NS . 160 ft. – lb. 2. A 40 kg. block is resting on an inclined plane making an angle of θ from the horizontal. Coefficient of friction is 0.60, find the value of θ when a force of P = 36.32 is applied to cause motion upward along the plane. Ans: 20 o 3. A rectangular block having a width of 8 cm and a height of 20 cm. is resting on a horizontal plane. If the coefficient of friction between the horizontal plane and the block is 0.40, at what point above the horizontal plane should a horizontal force P will be applied at which tipping will occur? Ans: 10 cm. 4. A spring with a natural length of 10 cm. is stretched by ½ cm. by a 12 Newton force. Find the work done in stretching the spring from 10 cm to 18 cm. Express your answer in joules. Ans: 7.68 Joules 5. A block weighing 400 kg us placed on an inclined plane making an angle of θ from the horizontal. If the coefficient of friction between the block and the inclined plane is 0.30, find the value of θ, when the block impends to slide downward. Ans: 16.70 o W = cosθ=N F = μN F = Wsinθ μN = Wsinθ μWcosθ = Wsinθ tanθ = μ tanθ = 0.30 θ = 16.70 o 6. A certain cable is suspended between two supports at the same elevation and 50 cm apart. The load is 50 N per meter horizontal length including the weight of the cable. The sag of the cable is 3 m. Calculate the total length of the cable. Ans: 50.4758 m 7. The cable supported at 2 points of the same level has a unit weight of W of 0.02 kg per meter of horizontal distance. The allowable sag is 0.02 m and a maximum tension at the lowest point of 1200 kg. and a factor of safety of 2. Calculate the allowable spacing of the poles assuming a parabolic cable. Ans: 69.28 m 8. A cable of 800 m long weighing 1.5 kN/m has tension of 750 kN at each end. Compute the maximum sag of the cable. Ans: 200 m 9. An object experiences rectilinear acceleration at a(t)10-2t. how far doe it travel in 6 seconds if its initial velocity is 10m/s. Ans: 168m 10. An object is accelerating to the right along a straight path at 2m/sec? the object begins with a velocity of 10m/s to the left. How far does it travel in 15 seconds? Ans: 125 m 11. A shot is fired at an angle of 45 o with the horizontal and a velocity of 300 fps. Calculate to the nearest, the range of the projectile. Ans: 932 yds 12. A solid disk flywheel (I=200 kg-m) is rotating with a speed of 200 rpm. What is the rotational kinetic energy? Ans: 888 x 10 3 J 13. A man borrowed P2000 from a bank and promise to pay the amount for one year. He received only the amount of P1,920 after the bank collected an advance interest of P80. What is the rate of discount and the rate of interest that the bank collected in advance. Ans: 4%, 4.17% 14. A bill for motorboat specifies the cost as P1,200 due at the end of 100 days but offers a 4% discount for cash in 30 days.

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