4.4. co= li(/4— v:)/(x 2 2 — 4), a
(/4. — v2 2 x2 i. )/(vf —74).
4.5. (a) (v) = 3a1 T = 0.50 m/s; (b) (v) = 6a1 T = 1.0 m/s.
g
(a)
(b)
Fig. 28.
.
4.6. (a) (vx)
2
(b) i(v)i— 2
ao),
331
2 (4-1/2) act).
3n
la [n + 1—cos (cot— na/2)], n is even,
4.7. s= a In + sin (0)t— na/2)1, n is odd.
Here n is a whole number of the ratio 20)t/n.
(a)
(b)
Fig. 29.
4.8. s = 0.6 m.
4.9. dP Idx =
az — x2
4.10. In both cases a = 7.
4.11. vm„,, = 2.73a0).
4.12. 47.9 and 52.1 s-1, 1.5 g.
4.13. 18 or 26 Hz.
4.14. (a) x2/a2
921b2 = 1, clockwise; (b) w = —0)2r.
4.15. (a) y2 = 4x2 (1 — x2/a2); (b)
y = a (1 — 2x2/a2).
See
Fig. 29.
4.16. T = 2 at - V mla2Uo.
4.17. T = 4aa 1/ ma/b2.
(c) (v)
324
(/4. — v2 2 x2 i. )/(vf —74).
4.5. (a) (v) = 3a1 T = 0.50 m/s; (b) (v) = 6a1 T = 1.0 m/s.
g
(a)
(b)
Fig. 28.
.
4.6. (a) (vx)
2
(b) i(v)i— 2
ao),
331
2 (4-1/2) act).
3n
la [n + 1—cos (cot— na/2)], n is even,
4.7. s= a In + sin (0)t— na/2)1, n is odd.
Here n is a whole number of the ratio 20)t/n.
(a)
(b)
Fig. 29.
4.8. s = 0.6 m.
4.9. dP Idx =
az — x2
4.10. In both cases a = 7.
4.11. vm„,, = 2.73a0).
4.12. 47.9 and 52.1 s-1, 1.5 g.
4.13. 18 or 26 Hz.
4.14. (a) x2/a2
921b2 = 1, clockwise; (b) w = —0)2r.
4.15. (a) y2 = 4x2 (1 — x2/a2); (b)
y = a (1 — 2x2/a2).
See
Fig. 29.
4.16. T = 2 at - V mla2Uo.
4.17. T = 4aa 1/ ma/b2.
(c) (v)
324
