Question

Part B: Please solve the following problens showing all the steps of your so -4,.00 kg, and Problem L: (6 pts) In the figure below, block 1 has mass m -2.00kg, block 2 has mass8 mWhen the pulley, which is mounted on a horizontal axle with negligible friction, has negigble relcased from rest, block 2 falls while block 1 rises with the same speed. 1t (2pt) a) Draw free-body (force) diagrams of both objects. b) Write Newton's Second Law for each object separately. (pt) c) Find the acceleration of the two objects. (ai- az-a) d) Find the tension in the string. (T- T-T) (1pt) rie SY a)

Answer 1

m_1 = 2 kg. m_2 = 4 kg. (a) free body diagram of m_1 is free body diagram of m_2 is (b) from Newton's second law T - m_1 g = m_1 a - (i) and m_2 g - T = m_2 a -(ii) \r\n (c) from equation (i) T - m_1 g = m_1 a T - 2 times 9.8 = 2a T = 19.6 + 2a - (iii) and from equation (ii) m_2 g - T = m_2 a 4 times 9.8 - T = 4a from above we put the value of T 39.2 - (19.6 + 2a) = 4a 19.6 - 2a = 4a a = 19.6 /6 a = 3.266 m/s^2. (d) Now we put the value of a in equation (iii) T = 19.6 + 2 times 3.266 T = 26.133 Newton