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Using a forked rod, a 0.5-kg smooth peg P is forced to move along the vertical slotted path r = (0.5 θ) m, where θ is in radians. If the angular position of the arm is
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Chapter 13 Solutions
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- If the rod of negligible mass is subjected to a couple moment of M = (30t^2) N⋅⋅m, and the engine of the car supplies a traction force of F = (15t) N to the wheels, where t is in seconds, determine the speed of the car at the instant t = 12.5 s. The car starts from rest. The total weight of the car and rider is 1.5 kN. Neglect the size of the car.arrow_forwardThe 4-lb collar C fits closely the smooth shaft. The spring in unstretched when s=0 and its stiffness is 6 lb/ft. AT s=0 ft, the collar is given a velocity of 19ft.s-1. The height is 0.6-ft. determine the position of the collar when its velocity is 0 ft.s-1arrow_forwardThe smooth surface of the vertical cam is defined in part by the curve r =(0.2 cos θ + 0.3) m. The forked rod is rotating with an angular acceleration of 2rad/s^2, and when θ = 45° the angular velocity is 6 rad/s. Determine the force the camand the rod exert on the 2-kg roller at this instant. The attached spring has a stiffnessk = 100 N/m and an unstretched length of 0.1 m.arrow_forward
- The smooth particle has a mass of 80 g. It is attached to an elastic cord extending from O to P and due to the slotted arm guide moves along the horizontal circular path r=(0.8sinθ)m. If the cord has a stiffness k= 24 N/m and an unstretched length of 0.25 m, determine the force of the guide on the particle when θ=60. The guide has a constant angular velocity θ˙=5rad/sarrow_forwardWhen the 5 kg block is 6 m from the wall, it is sliding at v1=14 m/s. If the coefficient of kinetic friction between the block and the horizontal plane is µk=0.3, determine the impulse of the wall on the block necessary to stop the block. Neglect the friction impulse action on the block during the collison.arrow_forwardThe spring constants are k1 = 140N / m, k2 = 240N / m and the unstretched lengths of the springs are 0.3 m. If the 6 kg ring is released from rest from point A, calculate its velocity when it reaches point B. According to the given datum line, the total potential energy (Ve) at point A is A = 1116.86 J and the total elastic potential energy (Ve) at point B is B = 370.8 J. Neglect the dimensions of the bracelet. (L1 = 0.90 m, L2 = 1.80 m, h1 = 1.20 m and h2 = 2.40 m)arrow_forward
- The van is traveling at 20 km/h when the coupling of the trailer at A fails. If the trailer has a mass of 300 kg and coasts 50 m before coming to rest, determine the constant horizontal force F created by rolling friction which causes the trailer to stop.arrow_forwardThe particle of mass m = 2.1 kg is attached to the light rigid rod of length L = 0.91 m, and the assembly rotates about a horizontal axis through O with a constant angular velocity θ˙θ˙ = ω = 2.9 rad/s. Determine the force T in the rod when θ = 28°. The force T is positive if in tension, negative if in compression. Determine the force T in the rod when θ = 28°. The force T is positive if in tension, negative if in compression.arrow_forwardThe 4800-lb automobile shown in Fig. travels down the 10° inclined road at a speed of 20 ft/s. If the driver jams on the brakes, causing his wheels to lock, determine how far s the tires skid on the road. The coefficient of kinetic friction between the wheels and the road is μk = 0.8arrow_forward
- The baggage truck A shown in the photo below has a weight of 900 lb and tows a 550-lb cart B and 325lb cart C. For a short time the driving frictional force developed at the wheels of the truck is 40t lb,where t is in seconds. If the truck starts from rest, determine its speed in 2 seconds. Also, what is thehorizontal force acting on the coupling between the truck and the cart B at this instant?arrow_forwardA man having the mass of 75 kg sits in the chair which is pin-connected to the frame BC. If the man isalways seated in an upright position, determine the horizontal and vertical reactions of the chair on theman at the instant Θ = 45 ̊. At this instant he has a speed of 6 m/s, which is increasing at 0.5 m/s2arrow_forwardThe small 1.6-kg block A slides down the curved path and passes the lowest point B with a speed of 3 m/s. If the radius of curvature of the path at B is 2 m, determine the normal force N exerted on the block by the path at this point. PLEASE ANSWER IT COMPLETELY. No rounding off of values unless it is the final answer. Final answers in 3 decimal places.g to be used 9.81 m/s^2 or 32.2 ft/s^2.arrow_forward
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