A child's top is held in place upright on a frictionless surface. The axle has a radius of r = 3.21 mm. Two strings are wrapped around the axle, and the top is set spinning by T T applying T = 2.40 N of constant tension to each string. If it takes 0.590 s for the string to unwind, how much angular 2r momentum L does the top acquire? Assume that the strings do not slip as the tension is applied. SP h kg-m? L = 9.15 x10-3 S Point P is located on the outer surface of the top, a distance h = 35.0 mm above the ground. The angle that the outer surface of the top makes with the rotation axis of the top is 0 = 24.0°. If the final tangential speed v, of point P is 1.45 m/s, what is the top's moment of inertia I? T T -4 2.42 x10 I = kg-m? Incorrect

An amusement park ride rotates around a fixed axis such that the angular position of a point on the ride follows the equation: θ(t) = a + bt2 – ct3 where a = 1.9 rad, b = 0.75 rad/s2 and c = 0.025 rad/s3.Randomized Variables a = 1.9 radb = 0.75 rad/s2c = 0.025 rad/s3 1) Determine an equation for the angular speed of the ride as a function of time, ω(t). Write your answer using the symbols a, b, and c, instead of their numerical values.  2)Besides at t = 0, at what time t1 is the ride stopped? Give your answer in seconds.  3) What is the magnitude of the angular displacement of the ride in radians between times t = 0 and t = t1?

02 if R P FRQ #2 and radius R = A kitty is hanging from a string attached to a thin hoop of mass M 1/2, with two rods, each with mass M, glued in the center to form a rigid assembly, as shown. The centers of the rods and the hoop coincide at point P. The assembly is mounted on a horizontal axle through point P and perpendicular to the page. Express all algebraic answers in terms of M, g, and l M. a. What is the rotational inertia of the rod-hoop assembly about the axle.

A 1.40 m long uniform bar with a mass O.50 kg is on a horizontal surface and is free to rotate about an axis perpendicular to the page and passing through its left end. A force F of magnitude 10.0N is applied to the bar as shown below. Given that O = 40°, determine the angular acceleration of the bar. Take +z to be out of the page. Pivot 3L/4 +y +z is out of the page +X

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The string is massless. The pulley turns on frictionless bearings. Consider the pulley as a uniform disk of mass 2.50 kg and radius 5.00 cm.The mass m1= 4.00 kg, and the mass m2= 5.00 kg. The system is released from rest. Find the tensions, T1& T2, in the horizontal and vertical portions of the string. The horizontal surface below m1 is smooth.

A bicycle wheel has radius R. Let P be a point on the spoke of a wheel at a distance dd from the center of the wheel. The wheel begins to roll to the right along the x-axis. The curve traced out by P is given by the following parametric equations:x(θ)=11θ-7sin(θ)y(θ)=11-7cos(θ)R=d=

A child's top is held in place upright on a frictionless surface. The axle has a radius of ?=2.96 mm. Two strings are wrapped around the axle, and the top is set spinning by applying ?=1.90 of constant tension to each string. If it takes 0.590s for the string to unwind, how much angular momentum ? does the top acquire? Assume that the strings do not slip as the tension is applied. Point P is located on the outer surface of the top, a distance ℎ=27.0 mm above the ground. The angle that the outer surface of the top makes with the rotation axis of the top is ?=28. If the final tangential speed ? of point P is 1.45 m/s, what is the top's moment of inertia ??

An object with a mass of m=5.10 kg is attached to the free end of a light string wrapped around a reel of radius R = 0.250 m and mass M= 3.00 kg. The reel is a solid disk, free to rotate in a vertical plane about the horizontal axis passing through its center. The suspended object is released frp, rest 6.00 m above the floor. Determine a. the tension in the string b. the acceleration of the object, and (c) b ising the isolated sustem (energy) model.

A child's top is held in place upright on a frictionless surface. The axle has a radius of r = 3.21 mm. Two strings are wrapped around the axle, and the top is set spinning by T T applying T = 1.40N of constant tension to each string. If it takes 0.590 s for the string to unwind, how much angular 2r momentum L does the top acquire? Assume that the strings do not slip as the tension is applied. R P h kg-m? %3D S Point P is located on the outer surface of the top, a distance h = 27.0 mm above the ground. The angle that the outer surface of the top makes with the rotation axis of the top is 0 = 22.0°. If the final tangential speed v, of point P is 1.95 m/s, what is the top's moment of inertia I? 2r T. I = kg-m?