A person of mass 60 kg stands on a platform executing SHM in the vertical plane . The displacement from the mean position varies as y = 0.5 sin ( 2π f t ) . The value of f for which the person will feel weightlessness at the highest point is ( y is in metres ) –
Varun , 8 Years ago
Grade 12
2 Answers
Vikas TU
Last Activity: 8 Years ago
From the condition, we can discover that
Angular speed = 2π f
y = 0.5 sin(2π f t)
dy/dt = 0.5 cos(2π ft) 2π f
Angular vel. = 0.5cos(2π ft) 2π f
2π f = 0.5 cos(2π ft) 2π f
1 = 0.5 cos(2π ft)
2 = cos(2π f)
Cos-1(2) =2π f
f= Cos-1(2)/2π
Aakriti
Last Activity: 6 Years ago
For man to feel weightlessness, at highest point, acc= g
W^2A= g
where (w= 2πf and A= 0.5)
puttingthe values in eq- we get the value of 'f'
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