imported>Patrick at 02:04, 15 April 2011

2011-04-15T02:04:12Z

New page

''Helena Dedic''

For a real rope with mass, tension is not constant throughout the rope. 

[[image:N_APP_EX_14_SOLN.png|TOP]] 

To find the tension at the midpoint of the rope, we isolate the system of the object and the bottom half of the rope. 

<math>T_{mid} - W = m a</math>

<math>T_{mid} - 2.1 N = 0.215 kg (4 m/s^2)</math> 

<math>T_{mid} = 2.1 N + 0.86 N = 2.96 N</math> 

To find the tension at the top of the rope, we would isolate the system of the object alone. 

<math>T_{bottom} - W = m a</math> 

<math>T_{bottom} - 0.2 kg x 9.8 N/kg = 0.2 kg (4 m/s^2)</math> 

<math>T_{bottom} = 1.96 N + 0.8 N = 2.76 N</math> 

To find the tension at the bottom of the rope, we would look at the system of the object and the whole rope. 

<math>T_{top} - W = m a</math> 

<math>T_{top} - 0.23 kg x 9.8 N/kg = 0.23 kg (4 m/s^2)</math> 

<math>T_{top} = 2.25 N + 0.92 N = 3.17 N</math> 

You can see that the tension in the rope increases from the bottom to the top.

Newtons Laws EX 14 - Revision history

imported>Patrick at 02:04, 15 April 2011