Question

use the answers to answer d,e, and f

A mass is attached to a spring and is oscillating in simple harmonic motion as shown in the figure. DOKS y (cm) BA Time (s) a) What is the period and the frequency of this motion? (2p) period: T=4.85 frequency: f = 1 / 2 = 1 = 0.208 b) Determine the amplitude (1p) A = 6cm Hz c) At which of the labelled points A-E is (4) 1. The speed greatest B ii. The velocity and acceleration vectors in opposite direction! iii. The velocity and acceleration vectors in the same direction? iv. The mass changing the direction of motion? v. The acceleration a maximum? O vi. The acceleration zero! vil. All energy in the form of potential energy? D vill. All energy in the form of kinetic energy? B]

Answer 1

total energy is . (d) We see that at point D in the form of potential energy. : E = Ekin + Edot =ot Ert E = / Kes? at D, X=6cm E=4 x 300 x 16X10-2)' E=0.54 J (el Sinu w = 20 & a=6 cm mavimum speed Image=w.a = 27.9 = 22044 X 6X10-2 Vmax = 7.65 X182 misa .: Vmax = 7.85 X10-2 mis on Vmer = 7.85 cm)s (61 cet us , x=3 cm i velocity - v=w a ²x2 = 2x3 14 (562-32 ) 4 . 4. = 2x3-14 x 5:196 = 6798 cm is V- 6.80 cm/s on v=6.80 X102 mis .