18-29. The 10-lb sphere starts from rest at 0 = 0° and rolls without slipping down the cylindrical surface which has a radius of 10 ft. Determine the speed of the sphere's center of mass at the instant 0 = 45°. 0.5 ft 10 ft

Q: the particle has a mass of 0.5 kg and is confined to move along the smooth horizontal slot due tot…

A: Step 1:To determine the forces acting on the particle, we need to consider the forces due to the…

Q: gear is supported by a fixed pin at O, determine the angular velocity of the gear and the velocity…

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Q: 16-42. The 5-lb ball is shot from a spring device. The spring has a stiffness k = 10 lb/in. and the…

A: Therefore, the speed of the 5-pound ball when it leaves the surface of the smooth, inclined plane is…

Q: Determine the velocity of the 142-kg cylinder B after it has descended a distance of 6 m. Initially,…

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Q: The trailer with its load has a mass of 150 kg and a centre of mass at G. If it is subjected to a…

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Q: The 4-kg bar is released from rest in the horizontal position 1 and falls to position 2. The…

A: Write the given data with suitable variables.

Q: The small collar of mass m = 0.70 kg is released from rest at A and slides down the curved rod in…

A: Given data: m=0.77 kgb=0.67 mh=3.33 m Need to determine the velocity of the collar at B.

Q: At the instant r = 2 m, the 6-kg disk is given a speed of v = 7 m/s, perpendicular to the elastic…

A: The unstretched length of the cord is l=0.5 m. The mass of the disc is m=6 kg. The spring constant…

Q: A 200 mm A The 200-mm spool has a mass of 8 and a radius of 7mm. If the 8-kg black A is released…

A: To find: The distance the block must fall in order for the spool to have an angular velocity of 4…

Q: The spring-mounted 0.92-kg collar A oscillates along the horizontal rod, which is rotating at the…

A: Given Datam=0.92 kgθ˙= 6.5rad/sr˙=850 mm/s=0.85m/sμk=0.52

Q: The particle of mass m = 2.1 kg is attached to the light rigid rod of length L = 0.91 m, and the…

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Q: The collar with mass of 0.9 kg is released from rest at position A and travels down the smooth…

A: Given: The mass of collar, m = 0.9 kg The stiffness of spring, k = 140 N/m The un-streched length, x…

Q: 18-29. The 10-lb sphere starts from rest at 0= 0° and rolls without slipping down the cylindrical…

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Q: 14-91. When the 5-kg box reaches point A it has a speed v = 10 m/s. Determine how high the box…

A: Find the normal reaction and acceleration of the box.

Q: At the instant r-2 m, the 6-kg disk is given a speed of v- 6 m/s. perpendicular to the elastic cord.…

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Q: The ball of mass m is guided along the vertical circular path r = 4cos(0)meters using the arm OA. If…

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Q: The collar has a mass of 2 kg and is attached to the light spring, which has a stiffness of 30 N∕m…

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Q: The 1.9-kg sphere moves in the x-y plane and has the indicated velocity at a particular instant.…

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Q: the 309-lb block is released from rest when the spring is undeformed, etermine the velocity of the…

A: Given,

Q: Each of the two elastic rubber bands of the slingshot has an unstretched length of 200 mm. If they…

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Q: The particle of mass m = 2.5 kg is attached to the light rigid rod of length L = 1.27 m, and the…

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Q: G F 1 m 800 mm 800 800 mm mm Na Nb

A: Consider below FBD for the question:   Here, Mass of trailer = m  = 400 kg We know that,  W = mg =…

Q: 18-59. The arm and seat of the amusement-park ride have a mass of 1.5 Mg, with the center of mass…

A: Given-Information: Mass of the arm and seat, m=1.5MgPassenger A mass,mA=125kgInitial Angle,…

Q: The 30-kg gear is subjected to a force of P=(20t)N where t is in seconds. Determine the angular…

A: mass of the gear m=30 Kgforce applied P=20tgear radius of gyration is Ko=125 mmto findthe angular…

Q: The spool has a weight of 75 lb and a radius of gyration ko = 1.20 ft. If the block B weighs 60 lb,…

A: Given data: W=75 lbk0=1.2 ft=14.4 inw=60 lbP=25 lbt=5 s

Q: The two 1.5-kg spheres are released from rest and gently nudged outward from the position 0 = 0 and…

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Q: = 14 ft/s to 14.102 The 1-lb block is given an initial velocity vo the right when it is in the…

A: Initial velocity = 14 ft/s

Q: 1. The spool has a mass of 50 kg and a radius of gyration ko = 0.280 m. If the 20-kg block is…

A: Given Data  ms=50 kg mb=20 kg v=4 m/s