4.4. co= li(/4— v:)/(x^22 — 4), a (/4 — v.^2 x^2 2 )/(vf i. —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),
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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 — x 2
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) x 2 /a 2 92 1b^2 = 1, clockwise; (b) w = —0)^2 r.
4.15. (a) y 2 = 4x 2 (1 — x 2 /a 2 ); (b) y = a (1 — 2x^2 /a^2 ).^ See
Fig. 29.
4.16. T = 2 at - V mla^2 Uo.
4.17. T = 4aa 1/ ma/b^2.
(c) (v)
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