2) A cylindrical rod of radius r = 2.00 cm and mass 1.25 kg is upright on the edge of a rotating disk of mass 10.0 kg and radius 25.0 cm as is shown in diagram (a) below. The system is rotating at 15.0 rad/s. The rod falls on its side as shown in diagram (b) Diagrams (c) and (d) present a side view. What is the new angular velocity of the system? How much work was done in changing the shape of the object? (b) Looking down Side View
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- Thank you for your help in understanding the concepts on how to work out these types of practice problems.Please help solve for the angular velocity. The hint is: The torques that accelerate the bananas and the monkey when they land on the platform are internal to the system.Imagine that you could see a wheel spinning while speeding up, so you know that the angular velocity is (answer choice 1) , and the angular acceleration is (answer choice 2). But if instead the wheel is spinning counter clockwise and slowing down, so you know that the angular velocity is (answer choice 3) , and the angular acceleration is (answer choice 4). answer choices: out of page (positive) or into page (negative)
- Find the rotational inertia about the X-axis of the object? (Use an expression m, R, sin theta). And find the angular velocity of the 4m object if takes 5 seconds for each object to make one revelution.Consider the image below of a hammer throw. At the point of release of the hammer, an athlete has an angular velocity of 2.70 rad/sec. If we assume that the length of the athlete’s arms plus the hammer is 1.5 m, and that the angular acceleration of the athlete and hammer at this instant is 0.65rad/sec2, what is the a) tangential velocity, the b) tangential acceleration, and the c) centripetal acceleration of the hammer mass?How do you solve this?
- 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. стA uniform horizontal disk of radius 5.50 m turns without friction at w = 2.30 rev/s on a vertical axis through its center, as in the figure below. A feedback mechanism senses the angular speed of the disk, and a drive motor at A ensures that the angular speed remain constant while a m = 1.20 kg block on top of the disk slides outward in a radial slot. The block starts at the center of the disk at time t = 0 and moves outward with constant speed v = 1.25 cm/s relative to the disk until it reaches the edge at t = 465 s. The sliding block experiences no friction. Its motion is constrained to have constant radial speed by a brake at B, producing tension in a light string tied to the block. (a) Find the torque as a function of time that the drive motor must provide while the block is sliding. Hint: The torque is given by = 2mrvw. t N-m (b) Find the value of this torque at t= 465 s, just before the sliding block finishes its motion. N.m 2.52 (c) Find the power which the drive motor must…Consider the 15.0 kg motorcycle wheel shown in the figure. Assume it to be approximately an annular ring with an inner radius of R1 = 0.280 m and an outer radius of R2 = 0.480 m. The motorcycle is on its center stand, so that the wheel can spin freely. a)If the drive chain exerts a force of 2450 N at a radius of 5.00 cm, what is the angular acceleration of the wheel in rad/s2? _____rad/s2 (b)What is the tangential acceleration, in m/s2, of a point on the outer edge of the tire? ______m/s2 (c)How long in seconds, starting from rest, does it take to reach an angular velocity of 80.0 rad/s? _______s