Question

Consider the 669 N weight held by two cables shown below. The left-hand cable had tension T and makes an angle of ? with the wall. The right-hand cable had tension 980 N and makes an angle of 26? with the ceiling.

a) What is the tension T in the left-hand cable slanted at an angle of ? with respect to the wall?

Answer in units of N.

b) What is the angle ? which the left-hand cable makes with respect to the wall?

Answer in units of ?.

Answer 1

Consider the 669 N weight held by two cables shown below.

The left-hand cable had tension T and makes an angle of ? with the wall.

The right-hand cable had tension 980 N and makes an angle of 26? with the ceiling.

a) What is the tension T in the left-hand cable slanted at an angle of ? with respect to the wall?

Answer in units of N.

b) What is the angle ? which the left-hand cable makes with respect to the wall?

Answer in units of

let the Tension in the left hand cable is T2 and the angle is ?2 with the ceiling,
By balancing the forces in X-Yplane:-
=>980cos26* = T2cos?2
=>T2cos?2 = 633.98---------------(i)
& 980sin26+ T2sin?2 = 669
=>T2sin?2 = 35.02----------------(ii)
By (i) ^2 + (ii)^2 :-
=>T2 = ?[(633.98)^2 + (35.023)^2]
=>T2 634.94N
By (ii)/(i):-
=>tan? = 35.02/633.98= 0.0552=