Corner point A of the uniform square plate, with a mass of 25 kg and a side length of  = 0.21 m, is pinned freely to the collar, which has an acceleration of a = 4.9  (towards the right) along the fixed horizontal shaft. If the plate has an angular velocity of  w = 1.6 rad/s (clockwise) when it swings past the vertical position shown (with G directly below A), what is the magnitude of the angular acceleration  (in ) of the plate at this time instant? The xy-plane is vertical. Choose the correct answer. 24.7 23.5 19.8 28.5 21.0

Q: Mechanism shown consists of two 8-pound rods AB and CD. each and a 10 lab AD bar. When θ = 0 °, the…

A:

Q: In the figure, the slender bar (1), with a mass of 30 kg, is attached to the sphere (2), with a mass…

A:

Q: At the instant shown, the uniform slender rod with mass m = 40 kg is pin-supported at point O. It is…

A: Find the magnitude of support reaction at point O.

Q: = The disk has a circular slot with the radius equal to 200 mm, and it is in a pure rotation about O…

A: Given : r = 200 ĵ mm = 0.2 ĵ m ω = 15 k̂ rad/s   when Silder is at O θ̇̇ =  14 k̂ rad/s

Q: In the figure shown, the hydraulic cylinder moves upwards with a constant speed of Va=0.2 m/s,…

A: To find: Angular velocity of the imaginary line drawn from its axis of rotation to any point on its…

Q: 6/61 The body consists of a uniform slender bar and a uniform disk, each of mass m/2. It rests on a…

A:

Q: The truck carries the spool which has a weight of 460 lb and a radius of gyration of kg = 2 ft.…

A:

Q: At the instant shown, the uniform slender rod with mass m = 28 kg is pin-supported at point O. It is…

A: given : m = 28 kg M = 60 Nm ω = 5.6 rad/s

Q: Immediately after leaving the platform, the diver's fully- extended 80-kg body has a rotational…

A: Given data: Mass of diver = M = 80 kg Initial speed of rotation = ω1 = 0.3 rev/s The characteristic…

Q: Determine the angular velocity (positive if counterclockwise, negative if clockwise) of link BC for…

A: if you have any doubts please comment

Q: A hollow cylinder with a mass of m= 100 kg and a diameter of d = 1 m is placed on a conveyor belt.…

A: Draw FBD

Q: The circular concrete culvert rolls with an angular velocity of w= 0.48 rad/s when the man is at the…

A: Angular velocity = 0.48 rad/s Radius of gyration = 3.6 ft Combined weight = 500 lb

Q: The two rotor blades of 770-mm radius rotate about the shaft at O mounted in the sliding block. The…

A:

Q: The 50kg beam L = 3 m beam is laying on the ground at rest when the the following forces F = 735 N…

A:

Q: A 210-lb satellite has a radius of gyration of 20 in. about the y-axis and is symmetric about the…

A: The acceleration of the center of mass. Given: The mass of the satellite is m=21032.2=6.5217 slugs.…

Q: The circular disk of 270-mm radius has a mass of 36 kg with centroidal radius of gyration k = 235 mm…

A: Given data: R=270 mmm=36 kgk=235 mmr=105 mmT=50 Nθ=29°μs=0.08μk=0.07 Need to determine the angular…

Q: The assembly consisting of a uniform slender bar (mass= 1.5 kg and L=0.49 m) and a rigidly attached…

A: The initial angular acceleration. Given: The mass of the slender bar is mb=1.5 kg. The length of the…

Q: Determine the angular velocity (positive if counterclockwise, negative if clockwise) of link BC for…

A:

Q: A LAB=60cm 45° Platform C v=10cm/s Disk B (radius=30cm) rolls without sliding relative to Platform C…

A: Radius, r = 30 cm Velocity, vc = 10 cm/s Length, LAB = 60 cm   To-Determine:- a. Rigid bodies and…

Q: 4. For the motion of block B in the system below use the following values: VB = 4 m/s; ag = 2 m/s².…

A:

Q: 4. As shown in the image below, the bucket of the backhoe traces the path of the cardioid r = C · (1…

A: Find the magnitude of acceleration of the bucket.

Q: Q2: The uniform 28 kg slender rod is being pulled by the cord that passes over the small smooth peg…

A:

Q: The man stands on the platform at O and runs out toward the edge such that when he is at A, y = 5…

A: Solution: Given Data: yA=5j ftVc=2j ft/sac=3j ft/s2ωp=0.4k rad/sαp=0.2k rad/s2   To Find: (a) The…

Q: In the position shown, the angular velocity and acceleration of the AB bar are wAB = 7.7 rad/s…

A:

Q: Q5: The assembly shown consists of a 10kg rod AB and a 20kg circular disk C. If it is subjected to a…

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Q: The 250-kg wheel has a radius of gyration about its center O of ko = 260 mm, and radius r = 0.4 m.…

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Q: Solving dynamics problems in steps: 1. Collect data and assumptions 2. Desired result? 3. Make…

A:

Q: A uniform plate has a weight of 50 lb. Link AB is subjected to a couple moment of M = 10 lb # ft and…

A: Given that, Weight of the plate = 50lb Moment M = 10 lb-ft Since the plate undergoes the cantilever…

Q: The small encd rollers of the 6.2-lb uniform slender ber are constrained to move in the slots, which…

A: Given that, Force on the bar is=6 lb, Let the angualar velocity of bar AB is ω The slender bar is…

Q: the crank AB is made to rotate with a constant angular velocity of Q rpm clockwise with no force…

A: The mass of piston is The speed of crank is  (clockwise)

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.