- #1

JAZZ541

- 18

- 0

## 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!**