If the torque required to loosen a nut that is holding a flat tire in place on a car has a magnitude of 48 Nm, what minimum force must be exerted by the mechanic at the end of a 29 cm-long wrench to loosen the nut? Answer in units of N. Answer in units of N.

A ballerina spins initially at 1.56 rev/s when her arms are extended. She then draws in her arms to her body and her moment of inertia becomes 0.82 kg-m², and her angular speed increases to 4.43 rev/s. What was her initial moment of inertia? Give your answer in kg-m².

On a playground, there is a merry-go-round. In order to get it moving, Bonnie applies a force of 17 N. The merry-go-round measures 5.3 m from the axis of rotation to the edge where Bonnie applies her force. Assuming she applies her force perpendicularly to a line drawn from the axis of rotation, what is the magnitude of the torque t Bonnie imparts to the merry-go-round? T = N.m

A centrifuge rotor rotating at 9300 rpm is shut off and is eventually brought uniformly to rest by a frictional torque of 1.66 m⋅N. If the mass of the rotor is 4.58 kg and it can be approximated as a solid cylinder of radius 0.0440 m, through how many revolutions will the rotor turn before coming to rest? Express your answer to three significant figures.   How long will it take? Express your answer to three significant figures and include the appropriate units.

A thin cord is wrapped around a uniform grindstone of radius 0.30 m and mass of 25 kg supported by bearings that produce negligible friction torque. The cord exerts a steady tension force on the grindstone, causing it to accelerate from rest to 60 rad/s in 12 s. (lgrindstone = 5 What is the magnitude of the tension force of the cord? O 5.6 N 11.3 N O 18.7 N O 37.5 N

Use g = 10 m/s/s.

Starting from rest, a 10.8cm diameter compact disk takes 7.96s to reach its operating rotational speed of 1920.0 rpm (revolutions per minute). Assume that the angular acceleration is constant. The disk's moment of inertia is 3.88E-5kg.m². How much torque is applied to the disk? Submit Answer Tries 0/10 How many revolutions does it make before reaching full speed? (Do not enter a unit.) Submit Answer Tries 0/10

A soccer player extends her lower leg in a kicking motion by exerting a force with the muscle above the knee in the front of her leg. Suppose she produces an angular acceleration of 32.5 rad/s2 and her lower leg has a moment of inertia of 0.75 kg⋅m2 . What is the force, in newtons, exerted by the muscle if its effective perpendicular lever arm is 2.1 cm?  F =

I need proper explanation with help of free body diagram. Don't give Chatgpt answer. Mechanical engineering

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