introductory Physics (PHYS 1303, i304, 1307, 1308) Halliday, Fundamentals of Phy

Question

introductory Physics (PHYS 1303, i304, 1307, 1308) Halliday, Fundamentals of Physics, 10e Gradebook ORION ULESCHEEN Chapter 15, Problem 014 velocity of the block are x a 0.174 m and A smole harmonic oscinator consists of a block of mass 4.10 ko artached to a spring of spring constant when t o B90 s, the position and ms. (a) What is the amolRude of the oscillations? What were the (b) position and (c) of the block att (a) Number units m (b) Number m (e)Nember click if you would like to show work for this question: ootn show o of 5 used Al rights ved

Explanation / Answer

m w^2 = k

w = 8.70 rad/s

x = A sin(wt + phi)

0.174 = A sin( D) .......(i)

where D = 0.890w + phi

v = A w cos(wt + phi)

2.940 = - A x 8.70 sin(D)

A cos(D) = 0.338 .......(ii)

(i) / (ii) tan(D) = 0.515

D = 0.890x8.70 + phi = 0.475

phi = - 7.27 rad

(A) A = 0.174 / sin0.475) = 0.380 m

|A| = 0.380 m

(B) x = 0.38 sin(-7.27) = - 0.317 m

(C) v = 0.380 x 8.70 cos(-7.27) = 1.82 m/s

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