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A block of mass m is attached to two unstretched springs of spring constant k_(1) and k_(2) as shown in figure. The block is displaced towards right through a distance 'x' and is released. Find the speed of the block as it passes through a distance x//4 from its mean position. All the surfaces are smooth. |
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Answer» Solution :Applying CONSERVATION of energy `1/2k_(1)x^(2)+1/2 k_(2)x^(2)=1/2 mv^(2)+1/2 k_(1)(x//4)^(2)+1/2 k_(2)(x//4)^(2)` `v=(x)/(4M) SQRT(15(k_(1)+k_(2)))`. |
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