Friday

January 30, 2015

January 30, 2015

Posted by **Bruce** on Friday, July 13, 2012 at 11:32pm.

(a) What is the net force acting on the mass? (Use any variable or symbol stated above along with the following as necessary: k_eff for the effective spring constant.)

What is the effective spring constant?

(b) What will the frequency of the oscillation be when the mass is released?

(c) If x = 0.1 m, what is the total energy of the mass-spring system after the mass is released, and what is the maximum velocity of the mass?

Im not sure how to solve these, or where to begin. Any help or advice is appreciated, thank you!

- Physics -
**Elena**, Saturday, July 14, 2012 at 4:30am(a)

F1= - k1•x

F2 =- k2•x

F=F1+F2= - (k1+k2) •x

k(eff) = k1+k2 =115+198=313 N/m.

(b)

ω =sqrt{k(eff)/m}=sqrt(313/13) = 4.9 rad/s.

f = ω/2•π =4.9/2•π = 0.78 Hz.

(c)

x=A=0.1 m.

E=kA²/2 =313•0.1²/2 =1.565 J.

v(max) = A• ω =0.1•4.9=0.49 m/s.

- Physics -
**Bruce**, Saturday, July 14, 2012 at 7:23pmThank you so much for your help!

**Answer this Question**

**Related Questions**

Physics - A ball is attached by two springs as shown in the left figure( |wwOww...

Physics - Suppose a crate of mass 2.8 kg is placed on the plank in the figure ...

Physics - The figure below shows two springs connected in parallel. This ...

Physics - The figure below shows two springs connected in parallel. This ...

physics - Two identical planets, each of mass M, have their centers a distance D...

mathematics - two springs and two masses are attached in a straight line on a ...

physics - A system has three masses, a 10kg mass is lying on a level surface and...

physical - Problem 1 A goalkeeper kicks a ball of mass 400 g in the air, and ...

physical - Problem 1 A goalkeeper kicks a ball of mass 400 g in the air, and ...

physics - person stands a distance of 0.300 meters from the right end of a 2.00...