A pendulum bob of mass 50 g hangs from the ceiling of an elevator. Determine the tension in the string given that the elevator is travelling upward with an acceleration of 1.2 m/s ^2 .

Step-by-step solution

Given, mass of the bob, m = 50 g = 0.05 kg Acceleration of the elevator, a = 1.2 m/s ^2 (upwards) Taking acceleration due to gravity, g = 9.8 m/s ^2 The equation of motion for the bob is: T - mg = ma T = m(g + a) Substituting the values: T = 0.05(9.8 + 1.2) T = 0.05 11.0 T = 0.55 N