With M=mass of the disk, m= hanging mass, R=radius of the disk, r=radius of the spool , a= linear acceleration , and α=angular acceleration , which formula gives the torque of the tension force, τ?
With M=mass of the disk, m= hanging mass, R=radius of the disk, r=radius of the spool...
A uniform disk with mass m = 8.55 kg and radius R = 1.35 m lies in the xy plane and centered at the origin. Three forces act on the disk in the +y-direction (see figure below): (1) a force F1 = 335 N at the edge of the disk on the +x-axis, (2) a force F2 = 335 N at the edge of the disk on the ?y-axis, and (3) a force F3 = 335 N at the edge...
A disk of mass M and radius R is on the horizontal table, and an external force F is applied to the disk as shown in Figure above. The coefficient of friction between the disk and the table is and it is large enough that the disk is rolling without slipping. The initial velocity of the center of mass is V_3 = 0, the initial angular velocity is 0. Find the acceleration of the center of mass of the disk...
dynamics problem, please write in clear steps
2. The spool has the mass m and the radius of gyration kG The inextensible chord is attached to the wall at A. The chord is wound at radius R, and the outer radius is 2R. The coefficient of friction between the spool and the ground is μ B F A Given: m, kG+ R, μ, write your solutions in terms of thene ghen quamtitie. Cherck the anas in the wolatioan! a. (10...
(3) In a real experiment with setup of Figure 2, initially the disk is at rest, and the hanging mass is placed 0.700 m above the floor. Then the hanging mass falls down until finally touches the floor. Measurements show the hanging mass mh-0212 kg, the spindle radius r = 0.0251 m, the disk's angular accleration α 6.612 rad/s, and the disk's final angular velocity wf 18.79 rad/s. Please compute the quantities below: (hint: Use the formulae in the lab...
/25 04 (25 marks) (a) A spool has a mass m 0.5 kg, radius r 0.1 m, moment of inertia about the center of mass Ic-4m2 2.5 x 103 kgm2. The end of the string of the spool is held at the point H with the right hand as shown in Figure Q4(a). Initially, the spool is held with the left d and the system is at rest. Answer the following questions supposing that the spool is gently released from...
#2. [Swinging Disk] A uniform circular disk of mass M and radius R is set swinging side-to-side about a frictionless pivot P at its edge (a) What is the disk's moment of inertia about the pivot? (b) Write an expression for the net torque acting on the disk about the pivot when the disk is displaced to the right by angle θ CM (c) Write Newton's 2nd Law for Rotation for the disk when it is displaced as shown. Be...
9. A disk of mass M and radius R is rotating with an angular velocity o. A rod also of mass M but length 2R is initially not rotating. It is dropped vertically onto the rotating disk as shown in the figure (page above). After the collision, the disk and rod rotate together with an angular velocity of c) 30/4 f) none of the above 10. What fraction of the initial kinetic energy was lost in the collision in question...
A solid disk with mass M (1.00 kg)
and radius R (0.200 m) is sitting on a frictionless surface. We
analyzed the situation at left below, where a force F (2.00 N) is
applied for four seconds, by a string that has been wrapped around
the outer surface of a cylindrical disk.
Two students are debating the
following question. ‘The same force is applied for the same amount
of time, but this time by a string attached to the edge...
Consider a uniform disk of radius R and mass m sliding down an incline making an angle θ with respect to the horizontal. The coefficient of kinetic friction between the disk and the surface is μk. The torque due to friction causes the disk to rotate as it slides down the incline. a) Compute the linear acceleration of the disk as it slides down the incline. b) Compute the angular acceleration of the disk as it slides down the incline....
A uniform disk with mass m = 9.04 kg and radius R = 1.35 m lies in the x-y plane and centered at the origin. Three forces act in the +y-direction on the disk: 1) a force 309 N at the edge of the disk on the +x-axis, 2) a force 309 N at the edge of the disk on the –y-axis, and 3) a force 309 N acts at the edge of the disk at an angle θ =...