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The frequency of oscillation of an object suspended on a spring depends on the stiffness k of the spring (called the spring constant) and the mass m of the object. If the spring is compressed a distance a and then allowed to oscillate, its displacement from its starting point is given by
f(t) = a cos√(k/mt)
a) A mass of 10g is suspended from a spring with stiffness k = 3. If the spring is compressed a distance 5 cm and then released, find the equation that describes the oscillation of the spring.
b) Find a general formula for its frequency of oscillation (in terms of k and m).
c) How is the frequency affected if the mass is increased? Is the oscillation faster or slower?
d) How is the frequency affected if a stiffer spring is used (larger k)? Is the oscillation faster or slower?
In the adjoining figure, ABCD is a square of side 6cm. Find the area of the shaded region. Ans: From P draw PQ ⊥ AB AQ = QB = 3cm (Ans: 34.428 sq cm) Join PB
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into how many smaller part is each centimeter divided
An experiment designed to test the potency of a drug on 20 rats. Last animal studies have shown that a 10 mg dose of the drug is lethal 5% of the time within the first 4 hours; of
A=30, B=45, b=4
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how do u add them together?
solve for x: logx9
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