Question

A rope attached to a sledge makes an angle of 40° with the ground. Calculate the tension in the rope required to produce a horizontal component 100N? What will be the vertical component of this force? 5 force act as shown by low. Calculate their resultant in magnitude and direction.

Answer 1

let the tension force in the rope attached to the sledge be "T"

θ = angle of rope with the horizontal = 40 deg

X = horizontal component of tension force "T" = 100 N

horizontal component of tension force "T" is given as

X = T Cosθ

100 = T Cos40

T = 130.54 N

Y = vertical component of the tension force = ?

vertical component of the tension force is given as

Y = T Sinθ

inserting the values

Y = (130.54) Sin40

Y = 83.91 N