A tire, which is mounted on a car, has a radius of 0.23m0.23m. A nail with a mass of 11.4g11.4g is stuck in the tread of the tire, and it is held there with a maximum frictional force of 0.53N0.53N. The car has been elevated on a mechanic lift so that the tire is no longer in contact with the pavement. Part (a) What is the tire tread’s lowest tangential speed, in meters per second, at which the nail will pull free from the tire? (How does gravity affect the net force on the nail at various positions in the rotation of the tire.) Part (b) At what tangential speed, in meters per second, would the nail pull free when it is at the top of the tire? (This is a mildly silly question because the nail would have already pulled free at some other point in the rotation.)
Rotational Equilibrium And Rotational Dynamics
In physics, the state of balance between the forces and the dynamics of motion is called the equilibrium state. The balance between various forces acting on a system in a rotational motion is called rotational equilibrium or rotational dynamics.
Equilibrium of Forces
The tension created on one body during push or pull is known as force.
A tire, which is mounted on a car, has a radius of 0.23m0.23m. A nail with a mass of 11.4g11.4g is stuck in the tread of the tire, and it is held there with a maximum frictional force of 0.53N0.53N. The car has been elevated on a mechanic lift so that the tire is no longer in contact with the pavement.
Part (a) What is the tire tread’s lowest tangential speed, in meters per second, at which the nail will pull free from the tire? (How does gravity affect the net force on the nail at various positions in the rotation of the tire.)
Part (b) At what tangential speed, in meters per second, would the nail pull free when it is at the top of the tire? (This is a mildly silly question because the nail would have already pulled free at some other point in the rotation.)
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