16-66. The planetary gear system is used in an automatic transmission for an automobile. By locking or releasing certain gears, it has the advantage of operating the car at different speeds. Consider the case where the ring gear R is rotating at wr = 3 rad/s, and the sun gear S is held fixed, ws = 0. Determine the angular velocity of each of the planet gears P and shaft A. 40 mm R S 80 mm 40 mm

Q: 16-114. The reel of rope has the angular motion shown. Determine the velocity and acceleration of…

A: Given that Angular acceleration of the rope is: α = 8 rad/sec2 Angular velocity of the rope is: ω =…

Q: *16-88. If bar AB has an angular velocity wAB = 6 rad/s, determine the velocity of the slider block…

A: Given that  W AB = 6 rad/s  To determine : the velocity of slider block c at the instant shown in…

Q: 20-34. Rod CD is attached to the rotating arms using ball- and-socket joints. If AC has the motion…

A: Given data: Angular velocity , ωAC = 3 rad/s Angular acceleration = 3 rad/s2   Let, Angular velocity…

Q: 16-63. If the angular velocity of link AB is waR = 3 rad/s, determine the velocity of the block at C…

A:

Q: 16-141. The collar C is pinned to rod CD while it slides on rod AB. If rod AB has an angular…

A: Draw the schematic diagram for a better understanding of the problem. Given data :

Q: Q1 rad The angular velocity of link AB is wAB = 10 . Determine the velocity of block C and the…

A:

Q: 21-27. The circular disk has a weight of 15 lb and is mounted on the shaft AB at an angle of 45°…

A: Draw the diagram of the disc.

Q: 16-54. The crate is transported on a platform which rests on rollers, each having a radius r. If the…

A: Given: The forward velocity of the platform is The radius of the rollers is r.

Q: R18-6. At the instant shown, the 50-lb bar rotates clockwise at 2 rad/s. The spring attached to its…

A: The diagram of the member AB is given as, The initial stretch position of the spring, The final…

Q: This is a dynamics question. Hint: wCB=1.33 rad/s CCW, alphaCD=3.08 rad/s2 CW

A: The above diagram is given as, Now all the parameters are written in vector form, The angular…

Q: 16-150. The two-link mechanism serves to amplify angular motion. Link AB has a pin at B which is…

A: Given Angular velocity of bar AB is 2.5 rad/s Distance between point B and C = 150 mm To find…

Q: This is a dynamics question. Hint: wBC=6.79 rad/s

A: Writing the position vector of the link as shown below -

Q: ) The disk is rotating about point O with an angular velocity x=7 rad/s in the given direction. Rod…

A: Given Data: The angular velocity of the disc is ωo=7 rad/s. The value of other variables are r=4 m,…

Q: 16-101. The planet gear A is pin connected to the end of the link BC. If the link rotates about the…

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: 16-65. The pinion gear rolls on the gear racks. If B is moving to the right at 8 ft/s and C is…

A: The Rack gear B and C move in opposite direction. Given, Velocity of B (vB) = 8 ft/s, Velocity of C…

Q: 16-89. Show that if the rim of the wheel and its hub maintain contact with the three tracks as the…

A: Step-1 Given:…

Q: *16-68. Knowing that angular velocity of link AB is WAB = 4 rad/s, determine the velocity of the…

A: Given; wAB=4rad/s      Required:-  velocity of the collar at C Angular velocity…

Q: 3) 16-45. Determine the velocity of rod R for any angle 0 of the cam C if the cam rotates with a…

A:

Q: *16-24. The gear A on the drive shaft of the outboard motor has a radius ra = 0.5 in. and the meshed…

A: Given, rA = 0.5 in rB = 1.2 in t - 1.5 s α = (400t3) rad/s2 The angular velocity at t = 1.5 s :dω…

Q: 16-71. The similar links AB and CD rotate about the fixed pins at A and C. If AB has an angular…

A: Given data:  Angular velocity of AB, ωAB=8 rad/s Length of AB, rAB = 300 mm = 0.3 m Length of CD,…

Q: 16-135. Rod AB rotates counterclockwise with a constant angular velocity w = 3 rad/s. Determine the…

A: Given Data: Angular velocity of rod is ω=3 rad/s. Radius of ring is x = 0.4 m. The angle of rod…

Q: *16-88. If bar AB has an angular velocity wAB = 6 rad/s, determine the velocity of the slider block…

A:

Q: The pin ion gear A on the motor shaft is given a constant angular accelera tion a = 3 rad/s2. If the…

A: Gear

Q: *20-24. The end C of the plate rests on the horizontal plane, while end points A and B are…

A: Write the expression of the velocity of point A in vector form. Write the expression of the…

Q: 16-98. If the hub gear H has an angular velocity wn = 5 rad/s, determine the angular velocity of the…

A: Given: The angular velocity of hub gear H = 5 rad/s The spur gear is stationary.

Q: 16-9. At the instant aa – 5 rad/s, pulley A is given an angular acceleration a - (0.86) rad/s, where…

A: Given data, When the pulley rotates a revolution of 3 then –

Q: F16-14. Determine the angular velocity of link BC and velocity of the piston C at the instant shown.…

A: Given data: angular velocity of link AB(ωAB) = 12 rad/s LAB = 0.6 m LBC = 1.2 m   To determine…

Q: *16-44. Determine the velocity and acceleration of the follower rod CD as a function of 0 when the…

A: Given Follower Cam To find Velocity of follower rod Acceleration of follower rod

Q: 16-82. Determine the angular velocity of link AB at the instant shown if block C is moving upward at…

A: To find the angular velocity of link AB ωAB=?

Q: 16-123. If member AB has the angular motion shown, determine the velocity and acceleration of point…

A: Understand the following figure for the rotation of Link AB. Write the expression for the velocity…

Q: *16-124. The disk rolls without slipping such that it has an angular acceleration of a = 4 rad/s and…

A: To find the acceleration at point a (Note: The instantaneous center is at infinity ωAB=0rad/s)

Q: 21-25. The large gear has a mass of 5 kg and a radius of gyration of k, = 75 mm. Gears B and C each…

A: Given: The mass of gear A is m=5 kg. The radius of gyration for gear A is kz=75 mm=0.075 m. The…

Q: 16-99. The crankshaft AB rotates at wAB = 50 rad/s about the fixed axis through point A, and the…

A: Given data ωAB=50 rad/s

Q: 16-62. The planetary gear A is pinned at B. Link BC rotates clockwise with an angular velocity of 8…

A: Given data: Length of link BC, rBC =15 in. Angular velocity of link BC, ωBC = 8 rad/s. Radius of…

Q: The wheel is rotating with an angular velocity and angular acceleration at the instant shown.…

A: Given Data The angular velocity of the wheel is: ω=8 rad/s The angular acceleration of the wheel is:…

Q: 16-138. Peg B on the gear slides freely along the slot in link AB. If the gear's center O moves with…

A: given; velocity at center (V0)=3m/sacceleration(a)=1.5m/s2radius(r)=150mm…

Q: 16-75. If link AB is rotating at wAB = 3 rad/s, determine the angular velocity of link CD at the…

A: Given: The angular velocity of the link AB is ωAB=3 rad/s. The angular velocity of the link CD is…

Q: The question in the picture is a dynamics question. Hint: wBC = 2.31 rad/s (CCW), wAB = 3.46 rad/s…

A: Given data as per question Length of link BC = 3ft Length of link AB = 1 ft Velocity = 6 ft/s

Q: 16-74. The epicyclic gear train consists of the sun gear A which is in mesh with the planet gear B.…

A: Given, ωDE=18 rad/s (counter-clockwise) rA=200 mmrB=300 mmrC=100 mmrR=600 mm Gear R is fixed.

Q: 16-113. The reel of rope has the angular motion shown. Determine the velocity and acceleration of…

A: Consider the diagram shown below for the reel at the instant. Here IC is the instantaneous center…

Q: 16-27. The gear A on the drive shaft of the outboard motor has a radius ra = 0.7 in. and the meshed…

A: Given data rA=0.7 inrB=1.4 inαA=300t rad/s2

Q: 2

A: Free Body Diagram for above Diagram: T = 100*0.5 = 50N-m

Q: 16-103. The mechanism used in a marine engine consists of a crank AB and two connecting rods BC and…

A:

Q: R18-5. The gear rack has a mass of 6 kg, and the gears each have a mass of 4 kg and a radius of…

A: Given, Mass of gear rack,  Mass of each gear,  Speed of rack when s = 0 is  = 2 m/s Radius of…

Q: 16-83. The shaper mechanism is designed to give a slow cutting stroke and a quick return to a blade…

A: Angular velocity is the measurement of the link in the rotational direction The velocity of the link…

Q: At the instant shown, the 200-lb bar rotates clockwise at 4 rad/s. The spring attached to its end…

A:

Q: 16-47. Determine the velocity of the rod R for any angle 0 of cam C as the cam rotates with a…

A: let V=Velocity of the Rod Rω=Constant angular velocity of camθ=Angle

Q: 16-57. The wheel is rotating with an angular velocity w = 8 rad/s Determine the velocity of the…

A: Given Angular Velocity = 8 rad/s To find Velocity of collar A Position AB at angle of 0. 30 and 60

Q: 16-78. If the ring gear D rotates counterclockwise with an angular velocity of wp = 5 rad/s while…

A:

Q: 16-122. If member AB has the angular motion shown, determine the angular velocity and angular…

A:

Power Transmission Elements

It is defined as the energy transfer from one location to another location. The energy will start moving from the energy generation source to the energy applied position to obtain the work output. From this method, a large amount of electric energy moves from the power station to various electrical substations.