Consider a pulley system shown below. The coordinate x is the displacement of G. Assume there is no slip between the cord and the pulley, and disk and the ground.
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- The force P applied to the brake handle enables the band brake to reduce the angular speed of a rotating drum. If the tensile strength of the band is 3800 lb, find the maximum safe value of P and the corresponding braking torque acting on the drum. Assume that the drum is rotating clockwise.The rope shown in the figure below is wound around a cylinder of mass 4.0 kg and I = 0.020 kg m2, about the cylinder axis. If the cylinder rolls without slipping, what is the linear acceleration of its center of mass? What is the frictional force? Use an axis along the cylinder axis for your computation. What happens if the frictional force between table and cylinder is negligible? Choose any axis for your computation.A turntable is a uniform disc of mass 2 kg and radius 1.3 x 10-1 m. The turntable is spinning at a constant rate of = 0.5 . The motor is turned off and the turntable slows to a stop in 8.0 s with constant angular deceleration. Find the (a) moment of inertia of the turntable; (b) initial rotational kinetic energy; (c) angular deceleration of the turntable while it is slowing down; (d) total angle in radians that the turntable spins while slowing down; and (e) magnitude of the frictional torque.
- Consider a disc of mass, M with radius 0.5 m on a slope with angle 45 degrees to the horizontal. It has a good grip on the slope and does not slip. The disc is constructed so that its mass per unit area, ρ(r) = r1/2 kg m−2, with r being the radial distance in metres from the axis of the disc. What is the equation describing the linear acceleration of the centre of mass of the disc down the slope in terms of the angular acceleration of the disc.As seen in the figure, three masses are connected to each other with the system set up on a table. Table friction and kinetic coefficient of friction is 0.35. (g = 10m / s2). b) Find the acceleration of each mass. c) Find the tensile forces on the ropes. d) How many meters will the object of 6kg go down after t = 3s after the system is released?A box of mass m = 0.7 kg is attached to a rope which is wrapped around a physical pulley with a radius of R = 10.2 cm and a rotational inertia of I = 0.075 kg·m2. When the box is released it starts to fall down with a constant acceleration and, at the same time, the pulley starts to spin up, see the picture below. Assuming that the pulley is frictionless, what is the magnitude of the box's acceleration and what is the tension in the rope? The acceleration of the box, a ? The tension in the rope, T? If the box starts from rest and traveled downwards a distance of h = 28 cm, what is the speed of the box and what is the angular velocity of the pulley? The speed of the box, v =? The angular velocity of the pulley, ω? -------------------------------------------------------------- A Merry Go Round carousel has a radius of R = 2.4 m and a rotational inertia of I = 695 kg·m2. A 75‑kg student is on the carousel at the midpoint between the carousel's center and the rim (at R/2 distance from…
- In the image, blocks A and B have 50 and 10 kg in order of . It is given that the coefficients of friction between all surfaces of contact are kinetic coefficient of friction =0.3 and static coefficient of friction = 0.4 If P=100 N, find the acceleration of B and the tension in the beam?Mason is is trying to keep a door open using a door stopper. That door is solid, and it has a mass of 18.3kg. The door closer is connected 26.2cm away from the hinge, and pulls with a force of 123N. The door stopper provides a static friction force of 13.2N, and a kinetic friction force off 11.8N. Find the angular acceleration (as a vector) of the door.can you show the steps taken to equation of motion, how do you find the steady displacement of the mass m,find the total reponse in detail and the show the step taken to find the force transmitted in the part c.
- A mass weighing 11.5 kg falls a distance of 1.5 m upon the top of a helical compression spring. Determine the force applied on the spring if it compressed 203mm. Please show your full solution with unit analysis. Subject: Machine DesignA machine part has the shape of a solid uniform sphere of mass 220 gg and diameter 3.50 cmcm . It is spinning about a frictionless axle through its center, but at a point at the top of the sphere, it is scraping against metal, resulting in a friction force of 0.0200 NN at that point. Find the angular acceleration of the sphere, including the direction (a positive value would indicate the +z direction and a negative value would indicate the -z direction).A sphere of mass M and radius R is not necessarily solid or hollow. It has moment of inertia I= cMR2. As shown in the figure, the sphere starts from rest and rolls without slipping down a ramp from height H. It then moves back up the other side, but now with no friction at all between the sphere and the ramp. What height does the sphere reach?