Energy in SHM
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See all →- Two identical point masses P and Q, suspended from two separate massless springs of spring constants k_1 and k_2, respectively, oscillate vertically. If their maximum speeds are the same, the ratio (A_Q/A_P) of the amplitude A_Q of mass Q to the ampl… Answer: 4. √(k₁/k₂) Key idea: the maximum speed in SHM is v_max=Aω=A√(k/m) . Masses are identical and v_max is the same, so A_P√(k₁)=A_Q√(k₂... 1
- A body is executing simple harmonic motion with frequency 'n', the frequency of its potential energy is : Answer: 2. 2n Key idea: potential energy depends on x² , so it repeats twice per oscillation. x = Asinω t ⇒ U=1/2 kx²=1/2 kA²sin²ω t=1/4 kA²... 1