The rope supports a lantern that weighs 50 N. Is the tension in the rope less than, equal to, or more than 50 N? Use the parallelogram rule to defend your answer.

ANSWER: STEP 1:- The free body diagram is shown below, The arrows above represents the forces. The lantern is balanced by two strings. The weight of lantern is 50 N. The weight gets balanced by the force which is vertically upwards. So the vertically upward force is also 50 N. STEP 2:- But according to parallelogram law of vector addition, normal reaction N = T + T 1 2 But the normal reaction is the weight of lantern which is 50 N. So we got the relation, N = T 1 T =250 N -----------------------(1) From the above equation, T & T > 50 N . 1 2 CONCLUSION: The sum of the two tensions is 50 N, so each of them must be less than 50 N.