Question

9. Two objects are connected by a light string rigure 3. Assume the incline is frictionless and take mi (a) Draw the free body diagrams of both objects. The magnitude of the acceleration of the objects. (c) The tension in the string. ant string that passes over a frictionless pulley as shown in Ss and take mi = 1.5 kg, m2= 7.8 kg, and 0 =53°

Answer 1

Solution: Given data: mg = 105 kg ; m₂ = 7.8 kg and o= 53 . Given figure : (a) Free body diagram of - mass m, : 1 F20 Thoso og M2 Sino mig Answer Balance forces T-mg = m, a --- (1) mass m₂ :- free body diagram of T mg cosa ymg sino Answer Balance the forces >> megsing - T = mga ---(2) (b) Add eam w & (2) Iem, g = m, a Magsing -I = m₂ a (m, sino -m,) g = (m, tM2) a or a masing-ming I put given data - matm & g = 9.8m/s2 - (7.8 Sin 53-1.5) 9.8 or a = 6.23-1.59-8 1-5+7.8 9.3 of a = 4.98 mis2_Answer (C) Put value of a = 4.98 miss in een cry o T-mg = m (4.98). Put all other values - T-l-5x9.8= 1-5 (4.98) D T = 7.47+14.7 cs T = 22:17 N_Answer