A square panel with a mass of 12 kg is suspended from point C by two ropes at points A and B. If the rope at B is suddenly cut, calculate the tension I in rope A immediately after the cut. The moment of inertia with respect to the center of mass is I = {mb². C 45° 45 A B b b (Ctrl)
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- Find the equivalent moment of inertia of the rocker arm assembly with respect to the location of kt. mass1=10kg Jo=20kg-m2 mass2=15kg, a is half of b. The rocker is 30 centimeters long. (kg-m2) * k1 Jo- k2 m2A wheel has a string of length 4 m wrapped round its shaft. The string is pulled with a constant force of 150 N. It is observed that when the string leaves the axle, the wheel is rotating at 3 revolutions in a second. Find the moment of inertia of the wheel.Find the equivalent moment of inertia of the rocker arm assembly with respect to the location of kt mass1=5kg Jo=20kg-m2 mass2=2kg, a is half of b. The rocker is 3 meters long. (kg-m2) *
- Consider the assembly shown in (Figure 1). Suppose that a = 1.3 ft , b = 0.4 ft , r= 1 ft , and d = 0.15 ft . The material has a specific weight of γ = 90 lb/ft3 Determine the moment of inertia of the assembly about an axis that is perpendicular to the page and passes through point O.The net force exerted on the piston by the exploding fuel-air mixture and friction is 5 kN to the left. A clockwise couple M = 200 N-m acts on the crank AB. The moment of inertia of the crank about A is 0.0003 kg-m2 . The mass of the connecting rod BC is 0.36 kg, and its center of mass is 40 mm from B on the line from B to C. The connecting rod’s moment of inertia about its center of mass is 0.0004 kg-m2 . The mass of the piston is 4.6 kg. The crank AB has a counterclockwise angular velocity of 2000 rpm at the instant shown. Neglect the gravitational forces on the crank, connecting rod, and piston – they still have mass, just don’t include weight on the FBDs. What is the piston’s acceleration?The pendulum consists of a slender rod with a mass 1.6 kg and a circular plate with a mass of 4.7 kg. h= 2.7 m and d= 1.7m. h Find the Mass Moment of Inertia about the point O in kg*m². Give your answer with one decimal.
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- The assembly shown consists of a flywheel, a counterweight, and a bolt that attaches the counterweight to the flywheel. The flywheel is uniform with mass per area of 3 g/mm² and has a 40 mm diameter hole as shown. Determine the mass mc of the counterweight so that the center of mass of the assembly is at point O. The counterweight is attached to the flywheel by a bolt with mass mp= 800 g that is screwed into a 10 mm diameter hole that passes completely through the flywheel. (Round the final answer to four decimal places.) flywheel 40 mm o counterweight and bolt mc, mB 45 mm 100 mm 50 mm The mass mc of the counterweight is g.A window cleaner is pulling himself up to a pulley that consists of two disks welded together as shown. The person is currently pulling straight down on the rope in his hands with a force of magnitude 580.4 N. The other rope is also vertical and is attached to the person's center of mass. The person's mass is 74.2 kg, the pulley's total moment of inertia is 395 kgm2, the radius of the small disk is 0.39 m, and the radius of the big disk is 0.73 m.What is the magnitude of the acceleration of the person's center of mass?The L-shaped rod AOCD has an 80 kg mass hanging from it at B. The rod is leaning against a smooth wall at A. Point B is half way up OA. There is a journal bearing at C and a thrust bearing at D. They are properly aligned. A force F is pulling in the x-direction at B. Just as the rod comes off of the wall at A, what is the magnitude of the force F. 1 m B F 1m