A particle of mass M moves in one dimension along the positive x axis, under the

Question

A particle of mass M moves in one dimension along the positive x axis, under the influence of two forces. The first force is a constant force, with magnitude B and direction toward the origin. The second force is an inverse square law, with magnitude A/x2 and direction away from the origin. Find the potential energy function, and sketch the energy diagram for motion with energy E. Find the equilibrium position.
Calculate the frequency of small oscillations around the equilibrium. [Data: M = 0.30 kg; B = 34 N; A = 43 Nm2.]

Explanation / Answer

Data: M = 0.30 kg; B = 14 N; A = 34 Nm2.] 2. Relevant equations Find the potential energy function, and sketch the energy diagram for motion with kinetic energy K. Find the equilibrium position. Calculate the frequency of small oscillations around the equilibrium. 3. The attempt at a solution I first set Fnet = ma = -B + A/x2 1st: Am I correct to say the resorting force (toward the origin) is - ? if so, I then rearranged the problem to look like a differential: m*x^{''} + B = A/x2 divide by m, and multiply by x2, x2*x^{''} + B*x2/m = A/m Is the set-up correct? or do I need a velocity t

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