Problem 5 (L.O.2) (1 mark). A block of mass mi (10kg) and a block of mass...

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Problem 5 (L.O.2) (1 mark). A block of mass mi (10kg) and a block of mass m2 (4kg) are connected by a massless unstretchable string over a pulley in the shape of a solid disk having radius of 12 cm and mass of 2 kg. The angle is 30 (see Figure 1). The string does not slip on the pulley; there is no friction between the inclination and the sliding block; and the pulley's axis is frictionless. Determine: acceleration of two blocks, tension of the string. mg-T=ma T-mg sina ma (1) TiR-T'R=IB We have: a = a = a T=T T=T 1 = _ _mR 2 a = BR m L P a m T IT m 105 P Figure 1 Inserting these quantities into Eq. (1) one can find acceleration (a) and tension (T, T2). Problem 6 (L.O.2) (1 mark). With the data given above in Problem 5, determine the angular acceleration of the pulley. What is the angular speed of pulley at the time t= Is after releasing? We have: Problem 7 (L.0.2) (1 mark). With the data given above in Problem 5. System is released freely to move from the rest. What is the kinetic energy of the system at the time t = ls after releasing? Kinetic energy: K= V = V = V We have: v=at co = Br 1 m. v + 2 my + 100 21 222 2 Problem 5 (L.O.2) (1 mark). A block of mass mi (10kg) and a block of mass m2 (4kg) are connected by a massless unstretchable string over a pulley in the shape of a solid disk having radius of 12 cm and mass of 2 kg. The angle is 30 (see Figure 1). The string does not slip on the pulley; there is no friction between the inclination and the sliding block; and the pulley's axis is frictionless. Determine: acceleration of two blocks, tension of the string. mg-T=ma T-mg sina ma (1) TiR-T'R=IB We have: a = a = a T=T T=T 1 = _ _mR 2 a = BR m L P a m T IT m 105 P Figure 1 Inserting these quantities into Eq. (1) one can find acceleration (a) and tension (T, T2). Problem 6 (L.O.2) (1 mark). With the data given above in Problem 5, determine the angular acceleration of the pulley. What is the angular speed of pulley at the time t= Is after releasing? We have: Problem 7 (L.0.2) (1 mark). With the data given above in Problem 5. System is released freely to move from the rest. What is the kinetic energy of the system at the time t = ls after releasing? Kinetic energy: K= V = V = V We have: v=at co = Br 1 m. v + 2 my + 100 21 222 2