A mass is attached to the end of a spring and set into oscillation on a horizont

Question

A mass is attached to the end of a spring and set into oscillation on a horizontal frictionless surface by releasing it from a stretched position of x = +0.150 m. The mass of the block is m = 0.647 kg, the force constant of the spring is k = 79.3 N/m. Determine the following.

(a) force component that the spring exerts on the block just before the block is released: ? N

(b) angular frequency of the resulting oscillatory motion: ? rad/s

(c) maximum speed of the oscillating mass: ? m/s

(d) magnitude of the maximum acceleration of the oscillating mass: ? m/s2

Explanation / Answer

given

Ampitude, A = 0.15 m

m = 0.647 kg

k = 79.3 N/m

a) F = -k*A

= -79.3*0.15

= -11.9 N

b) w = sqrt(k/m)

= sqrt(79.3/0.647)

= 11.1 rad/s

c) Vmax = A*w

= 0.15*11.01

= 1.66 m/s

d) |Fmax| = k*A

m*a = k*A

a = k*A/m

= 79.3*0.15/0.647

= 18.4 m/s^2

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.