BuyFindarrow_forward

College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

Solutions

Chapter
Section
BuyFindarrow_forward

College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

A 0.400-kg pendulum bob passes through the lowest part of its path at a speed of 3.00 m/s. (a) What is the tension in the pendulum cable at this point if the pendulum is 80.0 cm long? (b) When the pendulum reaches its highest point, what angle does the cable make with the vertical? (c) What is the tension in the pendulum cable when the pendulum reaches its highest point?

(a)

To determine
The tension in the pendulum cable at the lowest part of its path.

Explanation

Given info: The mass of the pendulum is 0.400kg . At the lowest part of its path the speed of the pendulum is 3.00ms-1 . The length of the pendulum is 80.0cm .

Explanation:

At the lowest position of the pendulum the gravitational force is acting vertically downward and the tension in the string is acting vertically upward. Hence the centripetal force will be,

mv2r=Tmg

  • v is the velocity at the lowest position
  • m is the mass of the pendulum
  • T is the tension in the string
  • g is the free fall acceleration
  • r is the length of the pendulum

On re-arrangement for the tension,

T=mv2r+mg=m(v2r+g)

Substitute 0.400kg for m , 3.00ms-1 for v , 80.0cm for r , 9

(b)

To determine
The angle made by the pendulum cable with the vertical when the pendulum reaches its maximum position.

c)

To determine
The tension in the pendulum cable at the highest point.

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Additional Science Solutions

Find more solutions based on key concepts

Show solutions add

How do eating disorders affect health?

Understanding Nutrition (MindTap Course List)

According to the USDA Eating Patterns, which of the following vegetables should be limited? a. carrots b. avoca...

Nutrition: Concepts and Controversies - Standalone book (MindTap Course List)

How many centimeters are there in a kilometer?

An Introduction to Physical Science

How long does it take light to cross the diameter of our Milky Way Galaxy?

Horizons: Exploring the Universe (MindTap Course List)

How does a muscle fiber incur an oxygen debt?

Human Biology (MindTap Course List)

A motorist drives along a straight road at a constant speed of 15.0 m/s. Just as she passes a parked motorcycle...

Physics for Scientists and Engineers, Technology Update (No access codes included)