1. Determine the mass moment of inertia of the thin flat plate of mass m about the y-axis. x = ky
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Q: 2. An odd-shaped object rotates at a speed of 9.0 rev/s. A small 30. g mass with moment of inertia 1…
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Q: 18. The mass moment of inertia for the thin plate about the x-axis is A. 1/15 mh² B. 2/15 mh² C.…
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Q: Determine the sum of the moment of the forces about point O shown in the figure.…
A: Step 1: Handwritten solutionStep 2: Hope this helps!
Q: 3. A solid disk rotates in the horizontal plane at an angular velocity of 4.90 × 10~2 rad/s with…
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Q: An object is formed by attaching a uniform, thin rod with a mass of mr = 6.57 kg and length L = 5.2…
A: mass of the rod = mr = 6.57 kg length = L = 5.2 m mass of sphere = ms= 32.85 kg
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Q: The uniform slender rod has a mass m. If it is released from rest when e = 0°. determine the angular…
A: Given Moment if inertial about center Ic = ML²/12 Concept used is law of conservation of energy.
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- Modern wind turbines generate electricity from wind power. The large, massive blades have a large moment of inertia and carry a great amount of angular momentum when rotating. A wind turbine has a total of 3 blades. Each blade has a mass of m = 5500 kg distributed uniformly along its length and extends a distance r = 44 m from the center of rotation. The turbine rotates with a frequency of f = 12 rpm. a)Calculate the total moment of inertia of the wind turbine about its axis, in units of kilogram meters squared. b)Enter an expression for the angular momentum of the wind turbine, in terms of the defined quantities. c)Calculate the angular momentum of the wind turbine, in units of kilogram meters squared per second.2. In the thin plate shown below, the material has a mass per unit area of 20 kg/m² (that is, instead of thinking of this as a volume with a thickness, we're just focused on the 2D area of the shape). What is the moment of inertia of this plate around the pivot point, O? 50 mm 400 mm 150 mm 150 mm 400 mm6. A merry-go-round has a moment of inertia I = 740.0 kg-m² and radius of 2.30m. A child with m = 34.0kg runs at the merry-go-round (MGR) at v = 2.60m/s. His straight line path would miss the center of the MGR by a distance of 1.30m. What is his angular momentum relative to the MGR center before reaching it? If the MGR is initially at rest, what is its angular speed after the child jumps on assuming the child stays at the outer rim? R m
- 1. An Olympic athlete competing in the hammer toss spins the 7.26 kg hammer in a circle having a radius of 2.15 m (this includes both the length of the massless cable attached to the hammer and the athlete's arms). If the angular speed of the hammer is 13.4 rad/s about the axis of rotation just before the athlete releases the hammer, what is the tension force in the cable attached to the hammer at this moment? Treat the hammer like it is a point mass at the end of a massless cable. 2. Your car has a mass of 1.30 x 103 kg. You get on Crondall Lane and are cruising along at 20.0 m/s and thinking about how you really should have walked across the bridge instead of contributing to global pollution. You look up to see that you are approaching the stoplight at Owings Mills Boulevard and it is red, so you slam on the brakes when you are 25.0 m away from the light. If your brakes provide a constant force of 8.90 x 103 N, do you stop before reaching the stoplight? If not, how fast are you…3. A rod with a mass of 10kg and a total length of 2 meters that can spin about an axis through its center ( I = ML2 ) receives a constant force of 5 N on one of its ends. As the rod spins, the 12 force will maintain the same strength and orientation i.e., angled at 60 degrees with respect to the rod. The rod is initially at rest. Total Length Axis 60 deg F, a. How many radians does the rod sweep through after a period of 10 seconds? b. What is the speed of a point on the end of the rod at that same moment?Q6