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

The uniform thin rod in Figure P8.47 has mass M = 3.50 kg and length L = 1.00 m and is free to rotate on a friction less pin. At the instant the rod is released from rest in the horizontal position, find the magnitude of (a) the rod’s angular acceleration, (b) the tangential acceleration of the rod’s center of mass, and (c) the tangential acceleration of the rod’s free end.

images

Figure P8.47 Problems 47 and 86.

(a)

To determine
The rod’s angular acceleration.

Explanation

Given info: The mass of the rod is 3.50kg , length of the rod is 1.00m , and acceleration due to gravity is 9.80m/s2 .

Explanation: The net torque of the rod on a frictionless pin is τ=Iα due to the rod’s weight at center of gravity and the moment of inertia of the rod is I=ML2/3 . Now the sum of torques becomes as (L/2)Mg=(ML2/3)α , by rearranging this expression, the angular acceleration is calculated.

The formula for the rod’s angular acceleration is,

α=32gL

  • g is acceleration due to gravity

(b)

To determine
The tangential acceleration of the rod’s center of mass.

(c)

To determine
The tangential acceleration of the rod’s free end.

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

What are the strengths and weaknesses of vegetarian diets?

Understanding Nutrition (MindTap Course List)

A deficiency of niacin may result in which disease? pellagra beriberi scurvy rickets

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

Three objects are brought close to one another, two at a time. When objects A and B are brought together, they ...

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

What is refraction?

Oceanography: An Invitation To Marine Science, Loose-leaf Versin