Plated Spring
Plated Spring
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Kettler Pushbar 4 Position Pushbar Chrome Plated List Price: Sale Price: $22.00 You save: $7.00 (24%)  |
DescriptionThe Kettler Pushbar 4 Position Pushbar Chrome Plated is a nice accessory for the Kettler tricycle, allowing adults to push toddlers who are not old enough to pedal on their own. This chrome-plated push-bar tricycle accessory is designed to fit Kettler tricycles and adjusts to 3 different telescoping height positions... |
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What is the spring constant and the maximum compression?
Two massless springs with spring constants k1=4.0N/m and k2 = 6.0 N/m are welded together at point A. A mass m = 1.0 kg that slides along the frictionless surface is incident on the springs with a velocity of V0 = .5 m/s. It hits a massless plate with velcro on the end of spring 2 and sticks.
a) In terms of k1 and k2 what is the effective spring constant keff characterizing the system, i.e. what is the spring constant of the single spring that could replace these two and give the same motion of the mass?
b)What is the maximum compression Xmax that the mass reaches from the initial equilibrium length of the springs?
The diagram has the mass sliding towards the springs where it would hit spring 2 which is joined to spring 1 at point A, with spring 1 attached to the wall.
a) k(avg)= (k1 + k2)/2
k(avg)= (4+ 6)/2=5 N/m
b) Ps=.5k(avg)X^2 (potential energy of the spring)
Ke=.5mV^2 (kinetic energy of the mass)
Pe=Ke
then
X(max)=sqrt(mV^2/k(avg))
X(max)=sqrt(1.0 (0.5)^2 / 5)
X(max)=0.316 m or 31.6 cm