A particle's SHM is described by x = 3 sin(ωt) + 4 cos(ωt). Amplitude of resulting SHM:
A4
B5
C3
D7
Answer & Solution
Correct answer: B. 5
For a sin(ωt) + b cos(ωt) = R sin(ωt + φ) where R = √(a² + b²) = √(9 + 16) = 5. Combined amplitude is 5.
Related questions
Two waves of slightly different frequencies but equal amplitude combine to produce:Two identical waves arrive crest on trough, so the amplitude of the result is:Two identical waves arrive crest on crest, so the amplitude of the result is:A wave whose disturbance is parallel to its direction of travel is:A wave whose disturbance is perpendicular to its direction of travel is:The distance between adjacent identical parts of a wave is its:Driving a system at its natural frequency, so the amplitude grows large, produces:A system that reaches equilibrium quickly but oscillates about it is described as: