A 2.67kg Mass on a oscillating Hass on a Frictionless Surface Notes Bookmark Eva

Question

A 2.67kg Mass on a oscillating Hass on a Frictionless Surface Notes Bookmark Evaluate communicate position mass is attached to a spring and placed on a smooth A displacement of x 0.183m, and it subsequently undergoes simple harmonic escinations. Calculate the force constant (the origin of the x axis). The mass is now released from rest with an initial of the spring. (For reference, read section 12.2 of the Sth edition of Serway and lewett's "Principles of Physics") What is the spring constant? 154 N/m ou are correct. Previous Tries receipt no, is 156-6173 What is the frequency of oscillation? 1.21 Hz ou are correct. e Previous Tries Your receipt no. is 156 7615 What is the maximum speed? 131 Submit Answer incorrect. Tries 2/10 Previous Tries what is the maximum magnitude of the acceleration? Submit Answer Tries o/10 of the marimum what is the magnitude of the acceleration of the mass when it's displacement is one fourth valuer Answer Tries 10 acer

Explanation / Answer

(c). Maximum speed V = Aw

Where A = Amplitude = 0.183 m

w = angular frequency = 2(pi) f

= 2(3.1415)(1.21)

= 7.602 rad/s

So, V = 0.183 x7.602 = 1.391 m/s

(d).maximum acceration = Aw 2

= 0.183 x 7.602 2

= 10.57 m/s 2

(e).Required accleration = Xw 2

=(A/4) w 2

= (0.183/4)(7.602) 2

= 2.643 m/s 2

(e).

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