The two blocks in the diagram below rest on frictionless inclines and are connec
ID: 1338834 • Letter: T
Question
The two blocks in the diagram below rest on frictionless inclines and are connected by a lightweight string that passes over a lightweight pulley. if m1= 3.00 kg, m2= 2.00 kg, the angle= 25 degrees, and angle = 48 degrees, find the acceleration of the blocks and the tension in the string.
http://websites.rcc.edu/cheney/files/2014/08/Physics-2A-Homework-4.pdf
Use link above for clarification on question and also for the diagram. It is number 5 on the sheet and the answer for this problem is at the bottom of the sheet as well. I just would like to see how the work is done to reach the answer that is provided.
To get full credit on problem:
1. Draw a picture and label the info, show direction of acceleration.
2. Choose object for which to draw a free body diagram.
3. Draw free body diagram for each object, and define the x and y axes.
4. Split your forces into components.
5. write out the equations and then solve.
Explanation / Answer
for m1
m1*g*sin25 - T = m1*a...............(1)
for m2
T - m2*g*sin48 = m2*a................(2)
from 1 & 2
m1*g*sin25 - m2*g*sin48 = a*(m1+m2)
(3*9.8*sin25)-(2*9.8*sin48) = a*(3+2)
a = -0.428 m/s^2
magnitude = a = 0.428 m/s^2
T = m1*g*sin25 - m1*a
T = (3*9.8*sin25)+(3*0.428)
T = 13.7 N
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