Question

Exercise 3.13 O The figure shows car P is taking a bend with constant velocity. Observer at O found that when = 30°, r = 360 km/h and 8 = -0.0005 rad/s-. Determine ar, do, an and p for this instant. r = 5000 m (Answer: 0 m/s2, -2.5 m/s2, 2.5 m/s², 4000 m)

Answer 1

Hoe 7 =5000 m dt2 when a=30, 8 = 360km/h = 360x1000 m - 100 m/s ö = d20=2= -0.000s rad/32, Determine au, ao, an and & for this intra instant. ao ar v=&= 100m/ 10 so, du= dv=o / Vaa 04LB given at this instant, car is moving coith consteent velocity. It means in r direction. so, in o diroetion, thene will be zero velouty. hence vo=o to (w. xd ) = 0 [w=o o about hence To=o about o point. ar = ao 2 = 0- 5000 x 0² = 0 ap= 2 ( 8x d) + rö Tao = 2(0x 100) + 5000x (- 0.0005) = -2.5 m/s2 an is just opposite direction of ao so, Tan= -90= -(-2.5 m/s2) = 2.5 m/s2] and, an= y² » 13- 12 - 100 = 4000 m