A 1.50x103 kg car, whose front is facing to the right (towards +x-axis) and whose engine is turned off and in neutral, is held at rest on a frictionless ramp using a cable whose one end is attached to the car's front at an angle 27.0° with respect to the ramp's surface. The other end of the cable is attached to a wall perpendicular to the horizontal and the ramp is raised 30.0° above the horizontal. (Note: A free- body diagram (FBD) is required in this problem) (a) Find the force exerted by the ramp on the car's wheels. (b) Find the tension on the cable. (c) Suppose the wall where the other end of the cable was attached was replaced by a rotating motor. If the car is now accelerating towards the peak of the ramp at 3.00 m/s2 due to the rotating motor, how much tension is being exerted by the cable on the car?

A 1.50x103 kg car, whose front is facing to the right (towards +x-axis) and whose engine is turned off and in neutral, is held at rest on a frictionless ramp using a cable whose one end is attached to the car's front at an angle 27.0° with respect to the ramp's surface. The other end of the cable is attached to a wall perpendicular to the horizontal and the ramp is raised 30.0° above the horizontal. (Note: A free- body diagram (FBD) is required in this problem) (a) Find the force exerted by the ramp on the car's wheels. (b) Find the tension on the cable. (c) Suppose the wall where the other end of the cable was attached was replaced by a rotating motor. If the car is now accelerating towards the peak of the ramp at 3.00 m/s2 due to the rotating motor, how much tension is being exerted by the cable on the car?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

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.

Question

A 1.50x103 kg car, whose front is facing to the right (towards +x-axis) and whose engine is turned off
and in neutral, is held at rest on a frictionless ramp using a cable whose one end is attached to the car's
front at an angle 27.0° with respect to the ramp's surface. The other end of the cable is attached to a
wall perpendicular to the horizontal and the ramp is raised 30.0° above the horizontal. (Note: A free-
body diagram (FBD) is required in this problem)
(a) Find the force exerted by the ramp on the car's wheels.
(b) Find the tension on the cable.
(c) Suppose the wall where the other end of the cable was attached was replaced by a rotating
motor. If the car is now accelerating towards the peak of the ramp at 3.00 m/s2 due to the
rotating motor, how much tension is being exerted by the cable on the car?

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