The position of a particle with respect to origin varies according to the relation x=3sin100t+8cos250t.The maximum displacement of the particle from the origin is ____________.
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answer is 9.
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Detailed Solution
x=3sin100t+8cos250t=3sin100t+8[1+cos100t]2x=4+3sin100t+4cos100t(x−4)=5sin(100t+ϕ)tanϕ=43 Amplitude =5 units Maximum displacement =9 units
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The position of a particle with respect to origin varies according to the relation x=3sin100t+8cos250t.The maximum displacement of the particle from the origin is ____________.