The uniform 2-kg slender bar AB is mounted on a vertical shaft at C. A constant couple of 9 N-m is applied to the bar. Calculate the angular acceleration of the bar and the magnitude of the horizontal reaction at C at the instant when the angular velocity of the bar is 6 rad/s.

Q: The circular concrete culvert rolls with an angular velocity of w = 0.58 rad/s when the man is at…

A: In this problem we will use the moment equation and the relative acceleration approach.

Q: The circular concrete culvert rolls with an angular velocity of w = 0.60 rad/s when the man is at…

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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 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: The 1.8-kg uniform bar rotates in the vertical plane about the pin at O. When the bar is in the…

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Q: G r 0 F

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Q: The club is investigating the dynamics of a steam engine. The angular velocity of the 16-kg flywheel…

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Q: The 10-oz disk shown spins at the rate w1 = 750 rpm, while axle AB rotates as shown with an angular…

A: The angular velocity vector is: Let the origin be at C with the centroidal axis x, y, and z.

Q: Determine the reactions at the pin support and the applied moment if the bar of figure (shown below)…

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Q: 2. The uniform bar of mass 5-kg and a length of 0.5 m is balanced in the vertical position when 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…

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Q: The mass of gear A is 25 kg and its centroidal radius of gyration is 105 mm. The mass of gear B is…

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Q: 3. You are working on your 1965 Mustang and have pulled the original Thriftpower 16 engine weighing…

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Q: Wheels A and B are uniform 16.1-1b cylinders with frictionless axles as shown. A 32.2-lb box C with…

A: To find: The acceleration of the box. Given: The diameter of the cylinder, D = 0.3048 m. The…

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)

Q: The 35 lb slender rod AB is 277 in. long and at rest in a horizontal position supported by a spring…

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Q: The 24-kg roll of paper has a radius of gyration k₁ = 90 mm about an axis passing through point A.…

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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.