Q2. The rod OB in Figure Q2 is rotating anticlockwise around O with an angular velocity of 2trad/s. Collar A moves along the rod with speed t sin(2t) m/s 8Orad and r-1m when t 0 s. a) Calculate the m...
Q2. The rod OB in Figure Q2 is rotating anticlockwise around O with an angular velocity of 2trad/s. Collar A moves along the rod with speed t sin(2t) m/s 8Orad and r-1m when t 0 s. a) Calculate the magnitude of the velocity vector of the collar A relative to o at t 1s. 5 Marks] b) Calculate the acceleration vector of the collar A relative to O at t-1s. [6 Marks] c) Determine the Cartesian velocity vector of the collar A relative to Oat t-1s 17 Marks] d) Show that the instant when the collar A is moving in only a radial direction is given by tan(t)--릎t-fra-2 . 17 Marks] s(21) -7 and sin(21)- where T-tano)] int: cos(2t)- 1+T2 1+T2 Figure Q2
Q2. The rod OB in Figure Q2 is rotating anticlockwise around O with an angular velocity of 2trad/s. Collar A moves along the rod with speed t sin(2t) m/s 8Orad and r-1m when t 0 s. a) Calculate the magnitude of the velocity vector of the collar A relative to o at t 1s. 5 Marks] b) Calculate the acceleration vector of the collar A relative to O at t-1s. [6 Marks] c) Determine the Cartesian velocity vector of the collar A relative to Oat t-1s 17 Marks] d) Show that the instant when the collar A is moving in only a radial direction is given by tan(t)--릎t-fra-2 . 17 Marks] s(21) -7 and sin(21)- where T-tano)] int: cos(2t)- 1+T2 1+T2 Figure Q2