What are cyclic coordinates? Prove that in a rotational system around some axis, the angular momentum conjugate to its cyclic momentum remains conserved.
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Q: Observe the relationship between torque and angular momentum.
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Q: A point particle travels in a straight line at constant speed, and the closest distance it comes to…
A: A point particle travels in a straight line at constant speed, and the closest distance it comes to…
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A: The rigid wheel is spinning about its center of mass with angular velocity of magnitude ωAnd the…
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- Needs Complete typed solution with 100% accuracy.a 0.400 kg ball is shot directly upward at initial speed 76.5 m/s. What is its angular momentum about P, 8.72 m horizontally from the launch point, when the ball is (a) at maximum height and (b) halfway back to the ground? What is the torque on the ball about P due to the gravitational force when the ball is (c) at maximum height and (d) halfway back to the ground? i need the answered to dA frisbee’s stability is maintained by its angular momentum. A 175gram frisbee with a diameter of 12inchesis thrown with an angular velocity of 5rev/s . Assume the frisbee can be modeled as a flat solid disk. Find the magnitude of the angular momentum vector.
- Suppose a 0.250-kg ball is thrown at 15.0 m/s to a motionless person standing on ice who catches it with an outstretched arm as shown , given mass is 70kg What is his angular velocity if each arm is 5.00 kg? You may treat the ball as a point mass and treat the person's arms as uniform rods (each has a length of 0.900 m) and the rest of his body as a uniform cylinder of radius 0.180 m. Neglect the effect of the ball on his center of mass so that his center of mass remains in his geometrical center.Conservation of Angular Momentum Given data on two disks, such as masses and inner/outer diameters/radii, and the initial angular velocities of the 2 disks, use the conservation of angular momentum principle to calculate the common angular velocity after the two disks are allowed to contact each other and spin together. Or, given the common final angular velocity, solve for unknowns such as the initial angular velocity of one of the disks. Or, given data on the starting and final angular velocities and some data on the disks, solve for unknowns such as moments of inertia, masses or diameters/radii. EXAMPLE Two metal disks have masses m1=3.45 kg and m2=UNKNOWN kg, and each has a radius of 8.31 cm. (You may ignore the inner hole for both disks assume that it is very small.) They spin on cushions of air in a standard rotational dynamics apparatus. Initially, disk #1 is spinning counterclockwise at 6.02 rad/s and disk #2 is spinning clockwise at 2.50 rad/s. A pin is removed that drops disk…A ball of mass 5.5 kg is released from rest from the top of a 4.0 m long hill that is inclined at 30°, as shown in figure. The ball rolls along the hill without slipping. The rotational inertia of a sphere of mass M and radius R about its center of mass is MR. (cos 30° = 0.866, sin 30° = 0.5, g = 9.8m/s?) a) Calculate the force due to friction acting on the ball as it rolls along the hill, b) Calculate the linear speed of the center of mass of the ball when it reaches the bottom edge of the hill, c) A wagon containing a box is at rest on the ground below the hill so that the ball falls the vertical distance of 3.0 m and lands and sticks in the center of the box. The total mass of the wagon and the box is 12 kg. Calculate the horizontal speed of the wagon immediately after the ball lands in it. 4,0 m 3.0 m