A particle moves at a constant velocity (v), as shown in the diagram. The angular momentum vector about the origin (point O) is directed a) out of the page. b) into the page. c) upward. d) downward. e) left. please explain
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A particle moves at a constant velocity (v), as shown in the diagram. The
a) out of the page.
b) into the page.
c) upward.
d) downward.
e) left.
please explain
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- A typical small rescue helicopter has four blades: Each is 4.00 m long and has a mass of 50.0 kg. The blades can be approximated as thin rods that rotate about one end of an axis perpendicular to their length (I = (Ml^2)/3). The helicopter has a total loaded mass of 1000 kg. a.) Calculate the rotational kinetic energy in the blades when they rotate at 300 rpm. b.) Calculate the angular momentum of the four combined blades when they rotate at 300 rpm (Hint: Find the angular momentum for one blade and multiply it by 4).3. The figure to the right shows a rod that is connected to a frictionless table through a pin-labeled by A -placed through the center of it. (You are looking down on the table.) The rod has mass m and length l. Although the rod is initially at rest, it can rotate freely (without friction) about the pin. A small particle with mass m/3, and moving with an initial velocity vo vo collides with the end of the rod. After the collision the mass stops moving, and the rod starts rotating with angular velocity w. I would strongly recommend that you draw a free body diagram for the rod in parts a and b. a. Linear momentum is not conserved for this collision. Explain in detail why. b. Angular momentum is conserved about the pivot. Explain in detail why. c. What is w? Express it in terms of vo, and l. d. Is energy conserved in the collision? Justify your answer by calculating the change in energy of the system in the collision. e. After a time T after the collision the rod will rotate around and…Please help me
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- A uniform solid sphere of mass 6.0 kg and radius 10 cm is rolling without slipping along a horizontal surface with a speed of 4.9 m/s (this is the speed of the center of mass) when it starts up a ramp that makes an angle of 30° with the horizontal. 1st а) b) While the ball is moving up the ramp, find What is the maximum distance it can go up the ramp, measured along the surface of the ramp? 2nd? the acceleration (magnitude and direction) of its center of mass and i) ii) | 3rd 3] the friction force (magnitude and direction) acting on it due to the surface of the ramp. Moment of inertia of a solid sphere is I em =MR². стTwo discs rotate freely about their vertical axis passing through their centers in the horizontal plane. The corresponding moments of inertia are I1 and I2 with angular velocities w1 and w2. The upper disc falls on the lower one, and after short time they both spin at the same steady – state angular velocity (due to friction). Find: a. The steady – state angular velocity of both discs. b. . The work done by the frictional forces during the process.