PHYS 201 Assignment Thirteen - Chapter Fiheen 3/282018 4. 0/2 points I Previous

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PHYS 201 Assignment Thirteen - Chapter Fiheen 3/282018 4. 0/2 points I Previous AnwersHRW10 15.5Q.011. In the figure below, two identical springs of spring constant k are attached to a block of mass m. The block is set oscillating on the frictionless floor. What is the frequency of oscillation? (Use any variable or symbol stated above as necessary.) 4n(V2km) Additional Materials 5. -/2 pointsHRW10 15.P.027.ssm (a) When the displacement in SHM is one-fith the amplitude Xm, what fraction of the total energy is kinetic energy? (b) What fraction is potential energy? (c) At what displacement, in terms of the amplitude, is the energy of the system half kinetic energy and half potential energy? (Use any variable or symbol stated above as necessary.) Additional Materials

Explanation / Answer

Question 4) Let 'k' be the spring constant , 'm' be the mass

Since both the springs are connected in parallel ,

keq = k + k = 2k

Now , the angular velocity (w) is :

w = sqrt(keq/m) = sqrt(2*k/m)

The frequency of the oscillation(f) is :

f = w/2(pi) = (1/2*pi)*sqrt(2k/m)

f = (1/2*pi)*sqrt(2k/m)

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