Question

Two particle are oscillating along two close parallel straight lines sides by sides, with the same frequency and amplitudes. They pass each other, moving in opposite directions when their displacement is half of the amplitude. The mean position of the two particles lie on a straight line perpendicular to the paths of the two particles.
The phase difference is

zero

2π/3

π

π/6

Solution

2π/3

straight y subscript 1 space equals space straight A over 2 space equals space straight A space sin space ωt rightwards double arrow space ωt space equals space 30 to the power of straight o straight y subscript 2 space equals space straight A over 2 space equals space straight A space sin space open parentheses ωt plus straight pi over 2 close parentheses rightwards double arrow space ωt space plus straight pi over 2 space equals space 150 to the power of straight o therefore comma space phase space difference straight ϕ space equals space 150 to the power of straight o minus 30 to the power of straight o equals space 120 to the power of straight o space end exponent space equals space fraction numerator 2 straight pi over denominator 3 end fraction space rad space

Some More Questions From Mechanical Properties of Fluids Chapter

For Daily Free Study Material Join wiredfaculty