A 500kg piano is being lowered into position by a crane while to people steady it with ropes pulling to the sides.Bob's rope pulls to the left, 15' below the horizontal, with 500N of tension.Ellen's rope pulls toward the right, 25' below horizontal. a)What tension must Ellen maintain in Her rope to keep the piano descending vertically at constant speed?

Question

A 500kg piano is being lowered into position by a crane while to people steady it with ropes pulling to the sides.Bob's rope pulls to the left, 15' below the horizontal, with 500N of tension.Ellen's rope pulls toward the right, 25' below horizontal. a)What tension must Ellen maintain in Her rope to keep the piano descending vertically at constant speed?
b)What is the tension in the vertical main cable support the piano?

Chanz · Answer

a)500 cos15 = T cos 25 b) T(vert) = 500 sin 15 + T(from part a) sin 25