PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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Determine the force acting on the cylinder at t = 3 s.
The 222-kg lunar lander is descending onto the moon's surface with a velocity of 4.5 m/s when its retro-engine is fired. If the engine
produces a thrust T for 4.2 s which varies with the time as shown and then cuts off, calculate the velocity of the lander when t = 5.3 s
assuming that it has not yet landed. Gravitational acceleration at the moon's surface is 1.62 m/s?. The velocity is positive if moving
downward, negative if up.
4.5 m/s
T, N
844
2.1
4.2
t, s
Answe: v =
i
m/s
The 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)
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- If the cord is subjected to a constant force of F = 300 N and the 15-kg smooth collar starts from rest at A, determine the velocity of the collar when it reaches point B. Neglect the size of the pulleyarrow_forward4. The 5-lb collar slides on the smooth rod, so that when it is at A is has a speed of 10 ft/s. If the spring to which it is attached has an unstretched length of 3 ft and a stiffness of k = 16 lb/ft, determine the normal force on the collar and the acceleration of the collar at this instant. 10 ft/s cy =8-arrow_forward. The 2.5-Mg four-wheel-drive SUV tows the 1.5-Mg trailer. The traction force developed at the wheels is FD = 9 kN. Determine the speed of the truck in 20 s, starting from rest. Also, determine the tension developed in the coupling, A, between the SUV and the trailer. Neglect the mass of the wheelarrow_forward
- Nonearrow_forwardTwo identical 16-kg spheres are attached to the light rigid rod, which rotates in the horizontal plane centered at pin Part A: If the spheres are subjected to tangential forces of P = 10 N, and the rod is subjected to a couple moment M=(8t)N⋅mM=(8t)N⋅m, where t is in seconds, determine the speed of the spheres at the instant t = 4 s. The system starts from rest. Neglect the size of the spheres. Express your answer to three significant figures and include the appropriate units.arrow_forwardThe 167-kg lunar lander is descending onto the moon's surface with a velocity of 5.0 m/s when its retro-engine is fired. If the engine produces a thrust Tfor 4.2 s which varies with the time as shown and then cuts off, calculate the velocity of the lander when t = 5.7 s assuming that it has not yet landed. Gravitational acceleration at the moon's surface is 1.62 m/s?. The velocity is positive if moving downward, negative if up. 5.0 m/s T,N 685 2.1 4.2 t, s Answe: v = m/sarrow_forward
- A freight elevator, including its load, has a mass of 1.1 Mg. It is prevented from rotating due to the track and wheels mounted along its sides. If the motor M develops a constant tension T = 6.9 kN in its attached cable, determine the velocity of the elevator when it has moved upward 7.2 m starting from rest. Neglect the mass of the pulleys and cables.arrow_forwardThe 5-lb collar is released from rest at A and travels along the frictionless guide. Determine the speed of the collar when it strikes the stop B. The spring has an unstretched length of 0.5 ft. -k = 4 lb/ft 15 ftarrow_forwardThe 600-kg bar B, originally at rest, is towed over a series of small rollers. The motor M is drawing in the cable at a rate of v = (0.3 t2) m/s, where t is in seconds. Determine the force in the cable when t = 2 sarrow_forward
- Q: If the rod of negligible mass is subjected to a couple moment of M (30t2)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 = 8 s. The car starts from rest. The total mass of the car and rider is %3D 200 kg. Neglect the size of the car. 6 m M (30r) N-marrow_forwardr= 0.3 (1 + cos 0) m 500 N/m The 3-kg collar slides along the smooth rod after being nudged from rest at A, and travels along the rod to pass point B. Given that the free length of the spring is 100 mm and that r is the actual length of the spring: Draw Free Body Diagrams for the collar at position A and at position B.arrow_forwardThe spring in the toy gun has an undeformed length of 110.1 mm. It compresses and stops at the position shown. When the trigger is pulled, the spring decompresses 8.3 mm, and the 16.4-g ball moves down the barrel. Determine the speed in m/s of the ball as it leaves the gun. Neglect friction. k = 2 kN/m 50 mm D -150 mm Barrow_forward
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