16-106. Member AB has the angular motions shown. Determine the velocity and acceleration of the slider block C at this instant. B 2 m 4 rad/s 5 rad/s2 0.5 m Prob. 16-106

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: 18-45. The 12-kg slender rod is attached to a spring, which has an unstretched length of 2 m. If the…

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Q: The question in the picture is a dynamics question. Hint: wAB=2.00 rad/s

A: Given data as per question Downward velocity of block c = 4 ft/s

Q: 16-107. At a given instant the roller A on the bar has the velocity and acceleration shown.…

A: Given, The length of bar AB, L = 0.6 m The linear velocity of point A, V = 4 m/s The linear…

Q: 16-67 Determine the velocity of the slider block at C at the instant = 45, if link AB is rotating at…

A: Given: The angular velocity of link AB, ωAB = 4 rad/s The angle of link BC, α =  45oC The angle of…

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

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Q: 16-106. Member AB has the angular motions shown. Determine the velocity and acceleration of the…

A: The velocity of the point B can be determined as, The acceleration of the point B can be determined…

Q: 16-91. Due to slipping, points A and B on the rim of the disk have the velocities shown. Determine…

A: Given data: *The velocity of the point A is VA=5 ft/s. *The velocity of the point B is VB=10 ft/s.…

Q: *18-60. The pendulum consists of a 6-kg slender rod fixed to a 15-kg disk. If the spring has an…

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Q: 16-85. The conveyor belt is moving to the right at v = 12 ft/s, and at the same instant the cylinder…

A: angular velocity of cylinder () = 6 rad/s velocity of centre of cylinder (Vc) = -4 ft/s i velocity…

Q: Specifically a dynamics problem. Question in pic below.

A: We know that Acceleration = 10 t m/s2 Radius  = 0.5 m Time = 3 s

Q: *16-108. The rod is confined to move along the path due to the pins at its ends. At the instant…

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Q: R16-7. The disk is moving to the left such that it has an angular acceleration a = 8 rad/s? and…

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Q: 16-1. The angular velocity of the disk is defined by w = (5r+ 2) rad/s, where t is in seconds.…

A: Given data: Angular velocity of the disc, ω = (5t2+2) rad/s Time, t = 0.5 s Radius, r = 0.8 m

Q: F16-15. If the center O of the wheel is moving with a speed of vo = 6 m/s, determine the velocity of…

A: Given data: The radius of the inner wheel, r = 0.3 m. The radius of the outer wheel, R = 0.6 m. The…

Q: *17-112. The circular concrete culvert rolls with an angular velocity of w = 0.5 rad/s when the man…

A: Write the expression of the mass moment of inertia of the system about its mass center. Write the…

Q: 16-59. At the instant shown, the truck is traveling to the right at 3 m/s while the pipe is rolling…

A: Given Truck velocity  = 3m/s Pipe angular velocity = 8rad/s To find Pipe velocity at G

Q: *17-64. A cord is wrapped around the outer surface of the 8-kg disk. If a force of F = (46) N, where…

A: Given: The mass of the disk is m=8 kg. The radius of the disk is r=300 mm. The force applied on the…

Q: F16-3. The flywheel rotates with an angular velocity of w = (4 01/2) rad/s, where 0 is in radians.…

A: Given data: The angular velocity of flywheel is ω = 4θ1/2rad/s. The final angular velocity is ω =…

Q: F16-4. The bucket is hoisted by the rope that wraps around a drum wheel. If the angular displacement…

A: Given data: The angular displacement of the drum wheel is; θ=0.5t3+15t rad. The time is; t=3 s. The…

Q: 16-39. The end A of the bar is moving downward along the slotted guide with a constant velocity v4.…

A: Given Velocity = vA To find The angular velocity The angular acceleration

Q: 16-86. As the cord unravels from the wheel's inner hub, the wheel is rotating at w = 2 rad/s at the…

A: Given data as per the question rotation of the hub =2 rad/s Point A and B  rotate with the same…

Q: 18-15. The pendulum consists of a 10-kg uniform disk and a 3-kg uniform slender rod. If it is…

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Q: 16-138. Collar B moves to the left with a speed of 5 m/s, which is increasing at a constant rate of…

A: Given : The angular velocity of the hoop is ω = 6 rad/s. The angular acceleration of the hoop is α…

Q: The 1.8 m long bar is confined to move along the vertical and inclined planes. If the velocity of…

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Q: F16-17. Determine the angular velocity of link BC and the velocity of the piston C at the instant…

A: Let's first determine the velocity vector of point B,…

Q: F16-6. For a short period of time, the motor turns gear A with a constant angular acceleration of aA…

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Q: 16-79. The mechanism shown is used in a riveting machine. It consists of a driving piston A, three…

A: Given: The velocity at point A is vA=20 m/s The length of the CD is CD=0.15 m. The length of AC is…

Q: 18–30. Motor M exerts a constant force of P = 750 N on %3D the rope. If the 100-kg post is at rest…

A: Given Data The constant force is: P=750 N The length of the post is: 3 m The height of the table is:…

Q: 16-15. The disk starts from rest and is given an angular acceleration a = (5t/2) rad/s?, where t is…

A: Given Acceleration a = 5t1/2 rad/s2 t = 2s To find Magnitude for normal and tangential

Q: 20-6. The conical spool rolls on the plane without slipping. If the axle has an angular velocity of…

A: Given data: Angular velocity, ω1 = 3 rad/s Angular acceleration, α1 = 2 rad/s2 the free body diagram…

Q: 17-93. The slender 12-kg bar has a clockwise angular velocity of w = 2 rad/s when it is in the…

A: (a) Drawing the FBD of the system, Consider the position vector of point A, G with respect to point…

Q: The two blocks A and B have a mass Ma and Mb, respectively, where Ma > Mb. If the pulley can be…

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Q: R19-5. The spool has a weight of 30 lb and a radius of gyration ko = 0.65 ft. If a force of 40 lb is…

A: Write the expression of the spool about the origin. Write the expression of the velocity at point…

Q: 17-71. The reel of cable has a mass of 400 kg and a radius of gyration of ka = 0.75 m. Determine its…

A: The mass moment of inertia of the reel about A is given by the equation:

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: *16-112. Determine the angular acceleration of link CD if link AB has the angular velocity and…

A: To determine: Angular acceleration of link CD    Consider link AB and calculate VB & aB VB = VA…

Q: Specifically a dynamics problem. Question in pic below. Answer: omega = 3.75 rad/s

A: When theta is equal to 30º then the spring is in a stretched condition. At this stage, the spring…

Q: How do I find the direction of vE (I think), which is theta=18.4 deg from the -y-axis? This is a…

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Q: *16-4. The disk is originally rotating at wn = 12 rad/s. If it is subjected to a constant angular…

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Q: This is a dynamics question. Hints: wA=wf+wA/fwA=wf+wA/f, ans. vC=-7.5 i m/s, aC=85 i - 7.5j m/s2

A: For the rope and pulley system taking D is an instantaneous center of rotation and point D will…

Q: 16-125. The ends of the bar AB are confined to move along the paths shown. At a given instant, A has…

A: Given, aA=7 ft/s2vA=4 ft/s

Q: This is a dynamics question. Made a mistake submitting it last time. Hints: wA=wf+wA/fwA=wf+wA/f,…

A: Given data:

Q: 18-30. Motor M exerts a constant force of P = 750 N on the rope. If the 100-kg post is at rest when…

A: To find out the ACf and ACi ACf=42+32-2(4)(3)cos60°2=2.05mACi=32+42=5m

Q: ૨૩: If P = 200 N and the 15-kg uniform slender rod starts from rest at = 0°, determine the rod's…

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Q: •16-117. The hydraulic cylinder D extends with a velocity of vg = 4 ft/s and an acceleration of ag =…

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Q: 16-90. Due to slipping, points A and B on the rim of the disk have the velocities shown. Determine…

A: given:

Q: 16-73. If the slider block A is moving downward at va = 4 m/s, determine the velocity of point E at…

A: The velocity of A vA=-4j vD=vA+ωAB×rD/ArD/A=0.3-45i+0.335j=-0.24i+0.18j…

Q: *18-28. The 10-kg rod AB is pin connected at A and subjected to a couple moment of M = 15 N · m. If…

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

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Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.