14.4. A block with mass M = 3.4 kg is connected to two springs with force consta

Question

14.4. A block with mass M = 3.4 kg is connected to two springs with force constants k1 = 50 N/m and k2 = 116 N/m. The mass moves on a frictionless horizontal surface where it is displaced from equilibrium and released. In both cases below, the motion can be described not only by all the individual forces acting in the problem but also by an equivalent or effective spring constant keff. ? ??????In the case shown as ?a? in the figure, (a) What is the effective spring constant keff (N/m)? (b) What is the period of the motion (s)? In the case shown as ?b? in the figure, (c) What is the effective spring constant keff(N/m)? (d) What is the period of the motion (s)? Hint: Both springs stretch when the block moves such that the forces at point P balance

14.4. A block with mass M = 3.4 kg is connected to two springs with force constants k1 = 50 N/m and k2 = 116 N/m. The mass moves on a frictionless horizontal surface where it is displaced from equilibrium and released. In both cases below, the motion can be described not only by all the individual forces acting in the problem but also by an equivalent or effective spring constant keff. ? ??????In the case shown as ?a? in the figure, (a) What is the effective spring constant keff (N/m)? (b) What is the period of the motion (s)? In the case shown as ?b? in the figure, (c) What is the effective spring constant keff(N/m)? (d) What is the period of the motion (s)? Hint: Both springs stretch when the block moves such that the forces at point P balance

Explanation / Answer

Pe=Ke then X(max)=sqrt(mV^2/k(avg))

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