Consider the following mass distribution where the x- and y-coordinates are given in meters: 5.0 kg at (0.0, 0.0) m, 3.3 kg at (0.0, 3.5) m, and 4.0 kg at (2.9, 0.0) m. Where should a fourth object of 7.5 kg be placed so that the center of gravity of the four-object arrangement will be at (0.0, 0.0) m?
A 1.25 kg solid, uniform disk rolls without slipping across a level surface, translating at 4.00 m/s. If the disk's radius is 0.390 m, find the following.
(a) the disk's translational kinetic energy (in J)
(b) the disk's rotational kinetic energy
An old grindstone, used for sharpening tools, is a solid cylindrical wheel that can rotate about its central axle with negligible friction. The radius of the wheel is 0.330 m. A constant tangential force of 300 N applied to its edge causes the wheel to have an angular acceleration of 0.800 rad/s2.
(a) What is the moment of inertia of the wheel (in kg · m2)? kg · m2
(b) What is the mass (in kg) of the wheel? kg
(c) The wheel starts from rest and the tangential force remains constant over a time period of 5.50 s. What is the angular speed (in rad/s) of the wheel at the end of this time period?
Consider the following mass distribution where the x- and y-coordinates are given in meters: 5.0 kg...
An old grindstone, used for sharpening tools, is a solid cylindrical wheel that can rotate about its central axle with negligible friction. The radius of the wheel is 0.330 m. A constant tangential force of 300 N applied to its edge causes the wheel to have an angular acceleration of 0.968 rad/s2. (a) What is the moment of inertia of the wheel (in kg · m2)? ______kg · m2 (b) What is the mass (in kg) of the wheel? ________kg...
An old grindstone, used for sharpening tools, is a solid cylindrical wheel that can rotate about its central axle with negligible friction. The radius of the wheel is 0.330 m. A constant tangential force of 300 N applied to its edge causes the wheel to have an angular acceleration of 0.908 rad/s2. a) What is the moment of inertia of the wheel (in kg, m2)? b) What is the mass (in kg) of the wheel? c) The wheel starts from...
A heavy turntable, used for rotating large objects, is a solid cylindrical wheel that can rotate about its central axle with negligible friction. The radius of the wheel is 0.330 m. A constant tangential force of 200 N applied to its edge causes the wheel to have an angular acceleration of 0.896 rad/s2. (a) What is the moment of inertia of the wheel (in kg ·m2)? kg · m2 (b) What is the mass (in kg) of the wheel? kg...
An old millstone, used for grinding grain in a gristmill, is a solid cylindrical wheel that can rotate about its central axle with negligible friction. The radius of the wheel is 0.330 m. A constant tangential force of 300 N applied to its edge causes the wheel to have an angular acceleration of 0.956 rad/s2. (a) What is the moment of inertia of the wheel (in kg. m?)? kg. m2 (b) What is the mass (in kg) of the wheel?...
A large grinding wheel in the shape of a solid cylinder of radius 0.330 m is free to rotate on a frictionless, vertical axle. A constant tangential force of 290 N applied to its edge causes the wheel to have an angular acceleration of 0.860 rad/s2. (a) What is the moment of inertia of the wheel? kg · m2 (b) What is the mass of the wheel? kg (c) If the wheel starts from rest, what is its angular velocity...
Consider the following mass distribution where the x- and y-coordinates are given in meters: 5.0 kg at (0.0, 0.0) m, 3.3 kg at (0.0, 3.7) m, and 4.0 kg at (3.5, 0.0) m. Where should a fourth object of 7.9 kg be placed so that the center of gravity of the four-object arrangement will be at (0.0, 0.0) m?
Consider the following mass distribution where the x- and y-coordinates are given in meters: 5.0 kg at (0.0, 0.0) m, 3.6 kg at (0.0, 3.4) m, and 4.0 kg at (2.6, 0.0) m. Where should a fourth object of 7.4 kg be placed so that the center of gravity of the four-object arrangement will be at (0.0, 0.0) m? x = m y = m
Consider the following mass distribution where the x-and y-coordinates are given in meters: 5.0 kg at (0.0, 0.0) m, 3.2 kg at (0.0, 4.7) m, and 4.0 kg at (3.2, 0.0) m.Where should a fourth object of 7.3 kg be placed so that the center of gravity of the four-object arrangement will be at (0.0, 0.0) m?
A 1.50 kg solid, uniform disk rolls without slipping across a level surface, translating at 4.50 m/s. If the disk's radius is 0.480 m, find the following. (a) the disk's translational kinetic energy (in J) J (b) the disk's rotational kinetic energy (in J) J
Consider the 10.0 kg motorcycle wheel shown in the figure. A Assume it to be approximately an annular ring with an inner radius of R1 = 0.280 m and an outer radius of R2 = 0.300 m. The motorcycle is on its center stand, so that the wheel can spin freely. (a) the drive chain exerts of 2060 Nat radius of 5.0 cm, hat is the angular acceleration (in rad/s2) of wheel? rad/s2 (b) What is the tangential acceleration in...