The sphere of mass M and radius R is rigidly attached to a thin rod of radius r that passes through the sphere at distance ½R from the center. A string wrapped around the rod pulls with tension T. (Figure 1)
Part A
Find an expression for the sphere's angular acceleration. The rod's moment of Inertia is negligible
The sphere of mass M and radius R is rigidly attached to a thin rod of radius r
A rod of length L and negligible mass is attached to a uniform disk of mass M and radius R (see figure below). A string is wrapped around the disk, and you pull on the string with a constant force F. Two small balls each of mass m slide along the rod with negligible friction. The apparatus starts from rest, and when the center of the disk has moved a distance d, a length of strings has come off the...
③ The thin rectangular plate of mass 2kg and radius R=0.5m is rigidly attached to the standa bon of mass lng and longth 1.5 metus. Determine the location of the center of mass, the moment of inentia about the ppoint A, and the nadius of gration.
This part consists of two spheres attached to the ends of a thin rod. Each sphere has a mass of 120 kg, and the rod has a mass of 7 kg. The dimensions shown are in meters. RO.15 RO. 15 G. 0.70 a) b) Find the mass moment of inertia about the x-axis, which passes through the center of mass G. Find the mass moment of inertia about the x-axis, which passes through point A.
As in the figure, a uniform sphere of mass = 0.84 kg and radius r = 4.2 cm is supported by a string (of negligible mass) attached to a wall (whose friction can also be ignored). The center of the sphere is a vertical distance L = 10 cm below the attachment point of the string. Find the tension in the string. (Note that the direction of the tension (along the string) is along a line passing through the center...
An object is formed by attaching a uniform, thin rod with a mass of mr = 7.31 kg and length L = 5.68 m to a uniform sphere with mass ms = 36.55 kg and radius R = 1.42 m. Note ms = 5mr and L = 4R. *What is the moment of inertia of the object about an axis at the left end of the rod? *If the object is fixed at the left end of the rod, what...
An m = 13.6 kg mass is attached to a cord that is wrapped around a wheel of radius r = 11.3 cm (see the figure below). The acceleration of the mass down the frictionless incline is measured to be a = 1.98 m/s2. Assuming the axle of the wheel to be frictionless, and the angle to be theta= 33.0o determine the tension in the rope. Determine the moment of inertia of the wheel. Determine angular speed of the wheel...
M, a solid cylinder (M=1.39 kg, R=0.111 m) pivots on a thin, fixed, frictionless bearing. A string wrapped around the cylinder pulls downward with a force F which equals the weight of a 0.570 kg mass, i.e., F = 5.592 N. Calculate the angular acceleration of the cylinder. (the answer to this is 39.8 rad/s^2) The cylinder is changed to one with the same mass and radius, but a different moment of inertia. Starting from rest, the mass now moves...
M, a solid cylinder (M=1.79 kg, R=0.119 m) pivots on a thin, fixed, frictionless bearing. A string wrapped around the cylinder pulls downward with a force F which equals the weight of a 0.630 kg mass, i.e., F = 6.180 N. a) Calculate the angular acceleration of the cylinder. b) If instead of the force F an actual mass m = 0.630 kg is hung from the string, find the angular acceleration of the cylinder. c) How far does m...
M, a solid cylinder (M=2.23 kg, R=0.131 m) pivots on a thin, fixed, frictionless bearing. A string wrapped around the cylinder pulls downward with a force F which equals the weight of a 0.870 kg mass, i.e., F = 8.535 N. Calculate the angular acceleration of the cylinder. 5.84×101 rad/s^2 If instead of the force F an actual mass m = 0.870 kg is hung from the string, find the angular acceleration of the cylinder. How far does m travel...
An object consists of the thin rod of mass 3M and length R and the disk of mass 2M and radius R attached to the rod. The object can (freely) rotate around the pivot passing through the point O and being perpendicular to the rod as shown in the Figure above. What is the moment of inertia of the rod with respect to the axis of the rod with respect to the axis of rotation?
> This answer assumes the rod has a moment of inertia, when the question states that its moment of inertia is negligible.
judi modi Fri, Nov 12, 2021 4:03 PM