×
Log in to StudySoup
Get Full Access to Physics - Textbook Survival Guide
Join StudySoup for FREE
Get Full Access to Physics - Textbook Survival Guide

The pulley in Fig. P9.76 has radius 0.160 m and moment of

University Physics | 13th Edition | ISBN: 9780321675460 | Authors: Hugh D. Young, Roger A. Freedman ISBN: 9780321675460 31

Solution for problem 84P Chapter 9

University Physics | 13th Edition

  • Textbook Solutions
  • 2901 Step-by-step solutions solved by professors and subject experts
  • Get 24/7 help from StudySoup virtual teaching assistants
University Physics | 13th Edition | ISBN: 9780321675460 | Authors: Hugh D. Young, Roger A. Freedman

University Physics | 13th Edition

4 5 1 293 Reviews
10
2
Problem 84P

The pulley in ?Fig. P9.76? has radius 0.160 m and moment of inertia The rope does not slip on the pulley rim. Use energy methods to calculate the speed of the 4.00-kg block just before it strikes the floor.

Step-by-Step Solution:

Solution 84P Step 1: Initially all the blocks and the pulley were not moving, so the total energy of the system was only the potential energy of the block of mass 4 kg at a height of 5 meters. The total energy was, E = mgh = 4 × 9.8 × 5 = 196 J . tot Step 2: Later when the system evolved in time, the total energy is, E = kinetic energy of the blocks + rotational energy of the pulley + P.E of the 2 kg block tot 1 2 1 2 1 2 = 2× 4 × V + 2 × 2 × V + 2 I + 2 × 9.8 × 5 2 = 2V + V + 2 0.380 2 + 98 2 r Where and rare the angular velocity and the radius of the pulley. So, E = [2 + 1 + 0.19] V + 98 tot 0.160 2 2 = [2 + 1 + 7.421] V + 98 = 10.421 V + 98 Step 4: The law of conservation of energy tells that, 2 10.421 V + 98 = 196 J 2 10.421 V = 196 98 = 98 V = 98 / 10.421 = 9.404 V = 9.404 = 3.066 m/s. Conclusion: The whole system moves with the same velocity so as the 4 kg block. The velocity just before hitting the ground will be 3.066 m/s.

Step 3 of 4

Chapter 9, Problem 84P is Solved
Step 4 of 4

Textbook: University Physics
Edition: 13
Author: Hugh D. Young, Roger A. Freedman
ISBN: 9780321675460

Unlock Textbook Solution

Enter your email below to unlock your verified solution to:

The pulley in Fig. P9.76 has radius 0.160 m and moment of

×
Log in to StudySoup
Get Full Access to Physics - Textbook Survival Guide
Join StudySoup for FREE
Get Full Access to Physics - Textbook Survival Guide
×
Reset your password