Q1: The uniform slender bar of mass m and length L is released from rest when in the horizontal position shown. Determine its angular velocity and mass center speed as it passes the vertical position. Ans.: 3 (= 24g √7L CW, UG = 14 8L m 3L 4 27

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

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Q: The slender bar OA has a mass of G kg, is released from rest in the vertical position and compresses…

A: G=8, F=10 , H=8 OA Slender Mass (m)=G kg= 8kg Spring Stiffness (k)= F kN/m = 10  kN/m Angular…

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: (A) A uniform rod 4 m long slender rod AB of mass 40.775 kg is rigidly connected to the center of a…

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

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Q: 30 kg pulley 10 kg carriage articulated at point O mounted. To the cable wound on the inner core of…

A: Given:Mass of the pulley (m1) = 30 kgMass of the carriage/car (m2) = 10 kgForce acting on the cable…

Q: The 20-kg wheel has a radius of gyration about its center O of ko = 280 mm, and radius r = 0.5 m.…

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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: Determine the gyroscopic couple, if the ship travels at 2 km/min and steer to the right in a curve…

A: When a plane with its rotor rotating in clockwise direction (when viewed from tail end) takes a left…

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: The uniform, thin 5-lb disk spins at a constant rate w2 = 6 rad/s about an axis held by a housing…

A: The data given is, Angular velocity in x-direction, ?x = ?1 = 3 rad/s Angular velocity in…

Q: after the decimal point. Take g = 9.81 m/s². r 0 F

A: Given,

Q: A homogeneous disk of mass m = 7 kg rotates at the constant rate w₁ = 12 rad/s with respect to arm…

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Q: In the figure below, the ring E has a mass mɛ = 30 kg and a radius of gyration about its center C of…

A: Write the given values along with suitable variables. Now, as the body D is moving download with…

Q: 10" 6" D - - 9 lb 10° Y

A: Given,

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

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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: 3) A 40 kg uniform disk rolls without slipping up an inclined plane. In the configuration shown, the…

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Q: If a 6 kg rod is let go from rest when theta = 30 degrees, find the angular velocity of the pipe at…

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Q: The amusement ride weighs 20 kip and has a radius of gyration of kp = 37ft, and is initially at…

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Q: The center O of the thin hoop of radius r = 0.7m and mass m = 2kg is given an angular velocity of wo…

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Q: A slender 6-kg rod can rotate in a plane about a pivot at B. A spring of k = 600 N/m (unstretched…

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Q: The spool has a mass of 105 kg and a radius of gyration of kg = 200 mm about its center of mass G.…

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

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Q: Two identical uniform slender rods with length 2.2 m and mass 3 kg are pin-connected at A. One of…

A: Given:The length of each rod, The mass of each rod, The angle made by the rod OA with horizontal,

Q: For the circular thin plate with a square hole as shown in the image below, its radius R = 0.48 m…

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Q: At the instant shown, the uniform slender rod with mass m = 32 kg is pin-supported at point O. It is…

A: To find: The angular acceleration of the rod. Given: The mass of the rod is m=32 kg. The moment…

Q: At the instant shown, the uniform slender rod with mass m = 35 kg is pin-supported at point O. It is…

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Q: A yo-yo has a weight of 0.3 lb and a radius of gyration ko = 0.06 ft. If it is released from rest,…

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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: At the instant shown, the uniform slender rod with mass m = 31 kg is pin-supported at point O. It is…

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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.