Fig. 3Refer to Fig. 3, where psi and theta are functions of time. Note that p moves freely along the ring. a) determine the position vector p with respect to o (point fixed to the inertial frame). Express it in the reference frame(s) of your preference. The distance between o and o' is l(t) b) Determine the velocity of p with respect to the inertial frame E{e1,e2,e3}. Express it in the base E{e1,e2,e3}. c) Evaluate the velocity determined in b for psi=0 and theta=o. Explain the physical meaning of it. Does it make sense? d)Plot the trajectory of point p in a (x,y) plot (x: e1; y: e2). Assume: R=10cm, r=1m, psi dot=2pi/500 rad/s, and theta dot=2pi/10 rad/s, and v=0m/s,. Initial conditoins: psi(t=0)=theta(t=0)=0. Plot it for 1000s with a time step of 0.1s.
Fig. 3Refer to Fig. 3, where psi and theta are functions of time. Note that p moves freely along the ring. a) determine the position vector p with respect to o (point fixed to the inertial frame). Express it in the reference frame(s) of your preference. The distance between o and o' is l(t) b) Determine the velocity of p with respect to the inertial frame E{e1,e2,e3}. Express it in the base E{e1,e2,e3}. c) Evaluate the velocity determined in b for psi=0 and theta=o. Explain the physical meaning of it. Does it make sense? d)Plot the trajectory of point p in a (x,y) plot (x: e1; y: e2). Assume: R=10cm, r=1m, psi dot=2pi/500 rad/s, and theta dot=2pi/10 rad/s, and v=0m/s,. Initial conditoins: psi(t=0)=theta(t=0)=0. Plot it for 1000s with a time step of 0.1s.
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Fig. 3Refer to Fig. 3, where psi and theta are functions of time. Note that p moves freely along the ring. a) determine the position vector p with respect to o (point fixed to the inertial frame). Express it in the reference frame(s) of your preference. The distance between o and o' is l(t) b) Determine the velocity of p with respect to the inertial frame E{e1,e2,e3}. Express it in the base E{e1,e2,e3}. c) Evaluate the velocity determined in b for psi=0 and theta=o. Explain the physical meaning of it. Does it make sense? d)Plot the trajectory of point p in a (x,y) plot (x: e1; y: e2). Assume: R=10cm, r=1m, psi dot=2pi/500 rad/s, and theta dot=2pi/10 rad/s, and v=0m/s,. Initial conditoins: psi(t=0)=theta(t=0)=0. Plot it for 1000s with a time step of 0.1s.
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