Question

A board, with a weight of 85 N and length of 6.0 m is supported by two vertical ropes. Rope A is connected to one end of the board and rope B is connected a distance of 1.5 m from the other end of the board. A box with a weight of 25N is placed on the board with its center of mass 1.0 m from rope A. What is the tension in rope A?

Answer 1

Answer:47.78 N

Step-by-step explanation:

Given

Weight of Board W=85 N

length of board L=6 m

Rope B is connected from the other end of the board at a distance of 1.5

Box with a weight of 25 N is Placed on the board at distance of 1 m from Rope A

Let
`T_a` and
`T_b` be the Tension in the rope at side A and B

Now Taking moment about

`85* 1.5+25* 3.5-T_a* 4.5=0`

`T_a=(85* 1.5+25* 3.5)/(4.5)`

`T_a=(215)/(4.5)`

`T_a=47.78 N`