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a crane winch is lifting a 2300-kg mass. the winch can be modeled as a cable of negligible mass wound around a solid uniform cylinder with a 12-cm radius and a mass of 320 kg that rotates around its central axis. how much torque is required to accelerate the 2300-kg mass straight upward at 0.35 m/s?? assume there is no friction in the system and that the winch radius remains constant.

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2863.33N/m torque is required to accelerate the 2300-kg mass straight upward at 0.35 m/s.

[tex]2300a = T- 2300g\\T = 2300*0.35 +2300*10\\ = 23805 N[/tex]

α[tex]=\frac{a}{R}[/tex] =[tex]\frac{0.35}{0.12}[/tex] [tex]= 2.92rad/s^{2}[/tex]

Iα[tex]= C- T.R[/tex]

[tex]\frac{MR^{2} }{2}[/tex]α = [tex]Z-23805 *0.12[/tex]

[tex]Z = \frac{320*(0.12)^{2} }{2} *2.92 + 23805 *0.12\\Z= 6.73 +2856.6 = 2863.33 N/m[/tex]

Mass is an intrinsic belonging of a body. It became historically believed to be related to the amount of being counted in a bodily body, until the discovery of the atom and particle physics. It becomes found that specific atoms and one-of-a-kind essential particles, theoretically with an equal quantity of matter, have nonetheless unique masses. Mass in contemporary physics has more than one definition which is conceptually wonderful, but bodily equal. The mass may be experimentally described as a measure of the body's inertia, which means the resistance to acceleration (exchange of velocity) whilst an internet pressure is carried out. The item's mass also determines the electricity of its gravitational enchantment to different bodies.

In physics, mass isn't always the same as weight, despite the fact that mass is regularly decided with the aid of measuring the item's weight with the usage of a spring scale, rather than a stability scale comparing it directly with regarded loads. An object on the Moon could weigh less than it does on earth due to the lower gravity, however, it would still have an identical mass. this is because weight is a pressure, at the same time as mass is the property that (in conjunction with gravity) determines the power of this pressure.

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