These are the turning points of the motion. The velocity is positive as it moves to the right and graph is as follows. (cid:1876)(cid:4666)(cid:1872)(cid:4667)=(cid:1855)(cid:1867)(cid:1871)((cid:884)(cid:1872)(cid:1846)) (cid:1876)(cid:4666)(cid:1872)(cid:4667)=(cid:1855)(cid:1867)(cid:1871)(cid:4666)(cid:884)(cid:1858)(cid:1872)(cid:4667) (cid:1857)(cid:1870)(cid:1857) (cid:1858)=(cid:883)(cid:1846): there are others ways to write this equation such as: 14. 2 simple harmonic motion and circular motion: the conditions above are for when the amplitude is a and the time is t = 0. The amplitude is represented by: measure the angle and we can locate the particle (cid:1876)=(cid:1855)(cid:1867)(cid:1871, the rate at which the angle will increase: =(cid:1872: as increases , the pa(cid:396)ti(cid:272)le"s (cid:454) component is: (cid:1876)(cid:4666)(cid:1872)(cid:4667)=(cid:1855)(cid:1867)(cid:1871)(cid:1872, thus the x component of a particle in uniform circular motion is simple harmonic motion. Therefore, we must look at ways where the initial angle is not 0. The small angle approximation: there are two forces that act on the mass: the tension in the string ((cid:1846) (cid:3046)(cid:3047)(cid:3045)(cid:3041)) and gravity ((cid:1832) ), suppose that the angle is (cid:862)s(cid:373)all(cid:863).