Question

find the magnitude of displacement every ( unit is in m) of the particle which is moving from A to B​

Answer 1

we have to find the magnitude of displacement of the particle which is moving from A to B.

solution : this question can be solved by many methods. but the most easiest method for this type of question is vector method.

we assume, horizontal line as x - axis and vertical line as y - axis

so, horizontal line denotes i (unit vector) and vertical line denotes j with sign.

particle starts to move from A and moves 70 m along positive direction of x - axis.

so, in vector form, s₁ = 70i

then moves 65 m along negative direction of y - axis

so, s₂ = -65 j

similarly, s₃ = -32i , s₄ = -13j , s₅ = -95i , s₆ = +44j

$s_7$ = 30i , $s_8$ = 60j , $s_9$ = 27i , s₁₀ = -9j , s₁₁ = 15i , s₁₂ = 3j

now displacement of particle from A to B = $s_1+s_2+s_3+s_4+s_5+s_6+s_7+s_8+s_9+s_{10}+s_{11}+s_{12}$

= 70i -65j -32i - 13j - 95i + 44j + 30i + 60j + 27i - 9j + 15i + 3j

= (70 - 32 - 95 + 30 + 27 + 15)i + (-65 - 13 + 44 + 60 - 9 + 3)j

= 15i + 20j

Therefore the magnitude of displacement of particle is √(15² + 20²) = √(225 + 400) = 25 m

Answer 2

, is subjected to a tension of 64N along the X−axis. One end of this string its attached to a vibrator moving in transverse direction at a frequency of 20H. At t=0, the source is at a maximum displacement y=1.0cm. (a) Find the speed of the wave travelling