One end of a long metallic wire of length is tied to the ceiling

PHYSICS · Single correct · AP · Physics 1: Algebra-based · Oscillations · Oscillations

Problem

One end of a long metallic wire of length

L

is tied to the ceiling. The other end is tied to a massless spring of spring constant

K

. A mass

m

hangs freely from the free end of the spring. The area of cross-section and the Young's modulus of the wire are

A

and

Y

respectively. If the mass is slightly pulled down and released, it will oscillate with a time period

T

equal to: (1)

2\pi(m/K)^{1/2}

(2)

2\pi\sqrt{\frac{m(YA + KL)}{YAK}}

(3)

2\pi(mYA/KL)^{1/2}

(4)

2\pi(mL/YA)^{1/2}