##### An archer must exert a force of 330 N on the bowstring shown in Figure (a) such

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An archer must exert a force of 330 N on the bowstring shown in Figure (a) such that the string makes an angle of θ = 30.0° with the vertical.

(a) Determine the tension in the bowstring.
N

(b) If the applied force is replaced by a stretched spring as in Figure (b) and the spring is stretched 34.0 cm from its unstretched length, what is the spring constant?
N/m
Jun 26th, 2015

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Jun 26th, 2015

(a). Using cosine rule,  R² = 2F²(1 - cos (180° - 2 * 30°))

330² = 2F²(1 - cos (180° - 2 * 30°))

F =190.5255 N

(b).  F = -k Δx

190.5255 = -k * (-0.34)

k = 560.3693 N/m

Jun 26th, 2015

you write  (a) 190.53 N   (b) 560.37 N/m

Jun 26th, 2015

330 N & 970.588 N/m

Jun 27th, 2015

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Jun 26th, 2015
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Jun 26th, 2015
Dec 6th, 2016
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