- #1
JAZZ541
- 18
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Homework Statement
Hi all, I have solved these problems just wanted to see if it's all ok
problem 1:
a trolley starts at the lowest point of a diagonal plane with a 20m/s speed. Its acceleration is 4m/s^2 going downhill, the trolley goes up then slows until it reaches 0 speed and then goes down the plane with the same acceleration
a. what is the slopes incline? Its is known that the trolley moves without friction?
problem 2:
A weight that has m = 12Kg is pendent in rest on a string attached to two other strings and creating an identical β = 60° with the ceiling, calculate the tension of all strings
Homework Equations
The Attempt at a Solution
solution 1:
[/B]
a = -4m/s2
g = 10m/s2
m1g • sinα = m1a
N = m1g • cosα
-m1g • sinα = m1a
Sinα = a/-g
Sinα = -4m/s2/-10m/s2
α = 23.58°solution 2:
m = 12Kg
mg = T1 = 120N
T1 = T2cos30° + T3cos30°
T1 = cos30° • (T2 + T3)
120N = cos30° • (T2 + T3)
T2 + T3 = 120/cos30° = 138.56
T2sin30° = T3sin30°
T2 + T3 = 138.56
2T = 138.56
T2 = T3 = 69.3
TY!