A counterweight of mass m= 4.10 kg is attached to a light cord that is wound around a pulley as shown in the figure below. The pulley is a thin hoop of radius R = 6.00 cm and mass M = 2.30 kg. The spokes have negligible mass. What is the net torque on the system about the axle of the pulley? When the counterweight has a speed v, the pulley has an angular speed ? = v/R. Determine the magnitude of the total angular momentum of the system about the axle of the pulley. Using your result from (b) and τ = (dL) / (dt), calculate the acceleration of the counterweight. (Enter the magnitude of the acceleration.)

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Q: A bar is attached to the spring at the point C. The left end of the bar is pin supported and can…

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Q: It is required to climb a cylinder one step, rolling without slipping; Said cylinder has a weight W…

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Q: The mechanism of four rods (Rocker Crank) as shown in the picture below is O2A = 15 cm, AB = 40 cm,…

A: Given: O2A = 15 cm AB = 40 cm AC = 15 cm  BD = 10 cm  O2O4 = 45 cm O4B = 30 cm P-4000N Q-5000N To…

Q: The rotor of a turbine 15 kg in mass, is supported at the midspan of a shaft as shown in figure. The…

A: Given dataMass of the turbine m = 15kgRotation of the turbine N = 500rpmAdditional displacement of…

Q: The body in the figure is pivoted at O. Three forces act on it in the directions shown: FA = 8.80N…

A: Torque = Force x perpendicular distance from point of application

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Q: To carry out dynamic force analysis of the four-bar mechanism shown in the figure. It is required to…

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Q: An oversized yo-yo is made from two identical solid disks each of mass  M = 1.90 kgand radius R =…

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Q: 15 mm diameter shaft rotates in long fixed bearings 60 cm apart. A rotor of mass 20 kg is mounted at…

A: Given: The diameter of shaft, d = 15 mm The length of shaft, L = 60 cm The mass of rotor, m = 20 kg…

Q: A pendulum built from a steel sphere with radius r=5cm and density Pstl I Answers: cm a. Calculate…

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Q: Q-5 A shaft carries four masses in parallel planes A, B, C and D in this order along its length. The…

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Q: A bar is attached to the spring at the point C. The left end of the bar is pin supported and can…

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Q: A car is pushing a barrel to the right. The pushing force P is applied by the front bumper which is…

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Q: A heavy spool rests on the ground at point A and against the wall at point B. Find force F required…

A: Given that, Mass of the spool, m=100 kg,Radius of spool, ri=200 mm, and ro=460 mm,Coefficient of…

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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.