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

Problem 84P Chapter 9

University Physics | 13th Edition

  • 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 0 247 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 University Physics - 13 Edition - Chapter 9 - Problem 84p

Forgot password? Reset password here

Join StudySoup for FREE
Get Full Access to University Physics - 13 Edition - Chapter 9 - Problem 84p
Join with Email
Already have an account? Login here
Reset your password

I don't want to reset my password

Need help? Contact support

Need an Account? Is not associated with an account
Sign up
We're here to help

Having trouble accessing your account? Let us help you, contact support at +1(510) 944-1054 or support@studysoup.com

Got it, thanks!
Password Reset Request Sent An email has been sent to the email address associated to your account. Follow the link in the email to reset your password. If you're having trouble finding our email please check your spam folder
Got it, thanks!
Already have an Account? Is already in use
Log in
Incorrect Password The password used to log in with this account is incorrect
Try Again

Forgot password? Reset it here