Answered: A 0.050kg pendulum is hung from the…

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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Question

A 0.050kg pendulum is hung from the ceiling of a train so that when the train sits motionless on a banked curve which turns to the right with a turn radius of 210m, the pendulum hangs at an angle of 8.0° to the right of a line perpendicular to the ceiling and floor of the train. How fast is the train going around the same curve if the pendulum bob swings 12° to the left of a line running perpendicular to the floor and ceiling?

Expert Solution

Step 1

A force arises from the object's inertial and appears to act on a moving object that is moving in a circular path which is directed away from the center around which the object is moving. This kind of force is called the centrifugal force.

Given data:

Mass of a pendulum, $m = 0.050 k g$

Radius of the curve, $r = 210 m$

The pendulum bob swings at an angle, $θ = 12 °$

Gravity, $g = 9.8 \frac{m}{s^{2}}$