PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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1. A 20-lb collar slides without frictions along a vertical rod as shown. The
elastic rope attached to the collar has an undeformed length of 4 inches and
spring constant of 3 lb/in. If the collar is released from rest in position A,
determine its velocity at position B. Apply conservation of energy.
8 in
6 in
B
2. The 200 gram toy car will be compressed against the spring and released to
send it around the loop which has diameter of 60 cm. Determine minimum
reauired spring compression to maintain contact with the tack for the entire
A constant force of ''F'' acts on a mass as shown. The mass starts its motion from rest at position 1, the unstretched length of the spring is 250 mm, and the spring modulus is k=1,5 k?/m. Neglecting the friction, determine the required force ''F'' to cause the 2−kg mass to have a speed of v2=1,5 m/s at position 2.
2. Crates A and B weigh 100 lb and 50 lb, respectively. If they start from rest, determine
their speed when t = 5 s. Also, find the force exerted by crate A on crate B during the
motion. The coefficient of kinetic friction between the crates and the ground is = 0.25.
A
P = 50 lb
B
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- A 16-lb shell has a velocity of 2000 ft/s when it leaves the barrel of a cannon. if the barrel is 10 ft, find the average force on the shell while its in the barrel.arrow_forward3/148 The 1.5-kg slider C moves along the fixed rod under the action of the spring whose unstretched length is 0.3 m. If the velocity of the slider is 2 m/s at point A and 3 m/s at point B, calculate the work U done by friction between these two points. Also, determine the average friction force acting on the slider between A and B if the length of the path is 0.70 m. The x-y plane is horizontal. 1 B 0.3 m 0.4 m $666666666666666 0.4 m k = 800 N/m 1arrow_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 cars of an amusement park ride have a speed va = 17 m/s at A and a speed vg = 10 m/s at B. If a 87-kg rider sits on a spring scale (which registers the normal force exerted on it), determine the scale readings as the car passes points A and B. Assume that the person's arms and legs do not support appreciable force. UB 47 m B VA 24 m Aarrow_forwardA 100 Ib ball at the end of a cable revolves at a constant speed of vo 8 ft/sec in a horizontal plane. If the length of the cable is 4ft, determine the tension in the cable.arrow_forwardA constant force of F acts on a mass as shown. The mass starts its motion from rest at position 1, the unstretched lenght of the spring is 250 mm, and the spring modulus is k = 1.5 kN/m. Neglecting the friction, determine the required force F to cause the 2 - kg mass to have a speed of v2 = 1.5 m/s at position 2.arrow_forward
- An elevator lifted eight 70 kg passenger from first floor to 2nd floor of the building with a force of F=(15+2s²) KN. If the elevator carriage has a mass of 1 ton. Determine the speed that the passenger will be thrown upwards when it rises at s = 3.66 meters. Determine the time it takes for the elevator to rise at that position from rest.arrow_forwardThe 2-Mg car increases its speed uniformly from rest to 20 m/s in 30 s up the inclined road. Determine the maximum power that must be supplied by the engine, which operates with an efficiency of E= 0,4. 10arrow_forwardThe 2.0 kg block slides along a smooth (frictionless) plane with a speed of 2 m/s and then strikes an unstretched spring with a spring constant of 220N/m. Find the speed of the block in meters per second after the spring has compressed 150 mm. What will be the maximum compression of the springarrow_forward
- The spring is not stretched or compressed when “s=0.8m" and the 11 kg block which is subjected to a force of 105 N has a speed of 5.5 m/s down the smooth plane. Using "THE PRINCIPLE OF WORK AND ENERGY", find the distance "s" when the block STOPS. k = 200 N/m 5 m/s F = 100 N 30°arrow_forwardM = (² + 2) N · m 0.5 m Each ball has a negligible size and their respective mass are 7-kg and 3-kg. Each ball is attached to the end of a rod whose mass may be neglected. If the rod is subjected to a torque M=t2+4 N.m, where t is in seconds, detemrine the speed of each ball when t=1. The initial speed of each baal at t=Os is 1 m/s.arrow_forwardThe 75-kg bike is resting on a horizontal surface for which the coefficient of kinetic friction is 0.38. If the bike is subjected to a 250-N towing force with an angle of 50° to the horizontal. Find the velocity of the bike in 5 sec starting from rest. 7F=250 N 500 a. 4.9 m/s O b. 3 m/s О с. 5.6 m/s O d. 2.19 m/sarrow_forward
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