The constant tensions of 200 N and 160 N are applied to the hoisting cable as shown. If the velocity v of the load is 2 m∕s down and the angular velocity ? of the pulley is 8 rad∕s counterclockwise at time t = 0, determine v and ? after the cable tensions have been applied for 1.5 s. Note the independence of the results.

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Q: Rod OA rotates counterclockwise at a constant angular rate θ˙ = 4 rad/s. The double collar B is…

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Q: The smooth surface of the vertical cam is defined in part by the curve r = (0.2 cos θ + 0.3) m. The…

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Q: At the instant shown, the spring is undeformed. Determine the change in potential energy if the 20…

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Q: The slotted arm OA rotates about a horizontal axis through point O. The 0.18-kg slider P moves with…

A: Note: I roundoff up to 4 decimals when computing every numbers and just round it off to 2 decimals…

Q: For the circular thin plate with a square hole as shown in the image below, its radius R = 0.49 m…

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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.

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Q: The spring-mounted 0.90-kg collar A oscillates along the horizontal rod, which is rotating at the…

A: Given data as per question Mass of the collar = 0.90 kg Angular velocity =6.2 rad./s Coefficient of…

Q: A 10-kg mass rotates around the vertical pole in a horizontal, circular path of radius R = 1 m. If…

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Q: The disk with radius r is rolling (without slipping) with angular velocity through the bottom of the…

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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: For the circular thin plate with a square hole as shown in the image below, its radius R = 0.32 m…

A: Given; mass per unit area = 22 kg/m2 moment of inertia of segments 1 and 2 m1=π×0.332×22=2.4 π…

Q: A solid cylinder with a radius of rc = 0.34 m and a mass of m= 8 kg is attached to a spring with a…

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Q: The particle of mass m = 2.1 kg is attached to the light rigid rod of length L = 0.91 m, and the…

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Q: The spring-mounted 0.97-kg collar A oscillates along the horizontal rod, which is rotating at the…

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Q: The triangular angle bar XYZ has a mass of m= 1.12345 kg and is connected to a steel plate with two…

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Q: The slotted arm OA rotates about a horizontal axis through point O. The 0.18-kg slider P moves with…

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Q: Find the normal force acting on the ball by the cylinder for Φ = Φ­0. Find the normal force acting…

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Q: The weight of the child is m = 31 kg. θ=115 degrees at the time the photo was taken.

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Q: The slotted arm OA rotates about a horizontal axis through point O. The 0.18-kg slider P moves with…

A: the forces acting on the slider P in the given scenario.Understanding the problemThe system consists…

Q: For the circular thin plate with a square hole as shown in the image below, its radius R = 0.42 m…

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Q: A block of mass m1 is located on an inclined plane θ and attached by a rope passing over a pulley…

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Q: The slotted arm OA rotates about a horizontal axis through point O. The 0.18-kg slider P moves with…

A: it appears to be the same problem we discussed previously regarding the slotted arm OA rotating…

Q: The bar AB is uniform and has a mass of 50.0 kg.  At the moment shown, the rod has an angular…

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A: Given: The angle of pipe AB with vertical axis = 45o

Q: 900 N 4) The uniform 40 kg slender rod is being pulled by a cable that passes over the small smooth…

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Q: At the instant shown, the spring is undeformed. Determine the change in potential energy if the 20…

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Q: The pendulum consists of a 12-kg uniform disk and a 3-kg uniform slender rod. It is released from…

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Q: 2. Cylinder CA weighs 2-kg and passes through a smooth bearing at B. Intially the cylinder is at…

A: Mass = 2 kg KCB = 3 KN/m KAB = 2 KN/m Force F = 5 KN

Q: *13=108. The collar, which has a weight of 3 lb, slides along the smooth rod lying in the horizontal…

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

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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: n or equal to u*N

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Combined Loading

Any functioning component, such as machine parts, structural members, pressure vessels, and so on, are all under the influence of more than one force. When anybody is under the influence of more than one force such as shear forces, bending moments, axial forces, torsion, and so on, then such body is said to be under combined loading. A very practical example of combined loading is the crankshaft of an internal combustion engine (IC engine). The crankshaft of the IC engine is under high rpm, which is caused due to the torsional forces. Due to the presence of piston, counterbalances, and internal imbalances, the crankshaft experiences lateral forces and due to the rise in temperature, the crankshaft undergoes thermal expansion, which pulls the crankshaft along the axial direction and lateral direction. The presence of unbalanced loads along the periphery of the crankshaft also induces a bending moment.