A thin rod AB is moving in a vertical plane. At a certain instant when the rod is inclined at 60° to the horizontal the point A is moving horizontally with 3 m / s while B is moving in the vertical direction. Then velocity of B is

Question

A thin rod AB is moving in a vertical plane. At a certain instant when the rod is inclined at 60° to the horizontal the point A is moving horizontally with 3 m / s while B is moving in the vertical direction. Then velocity of B is (A) (1/√3) ms -1 (B) √3 ms -1 (C) 2 √3 ms -1 (D) (√3/2) ms -1

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/12c4242f7f6ea1143cdde5df3da61149-.png" /> along the riged rod comporent of vertical will be same 3 cos 60°= V B cos 30° V B =(3 x /2) × (2/√3)=√3

Q. A thin rod $A B$ is moving in a vertical plane. At a certain instant when the rod is inclined at $6 0^{\circ}$ to the horizontal the point $A$ is moving horizontally with $3 m / s$ while $B$ is moving in the vertical direction. Then velocity of $B$ is

$\frac{1}{3} m s^{- 1}$

$3 m s^{- 1}$

$23 m s^{- 1}$

$\frac{3}{2} m s^{- 1}$

along the riged rod comporent of vertical will be same
$3 cos 6 0^{\circ} = V_{B} cos 3 0^{\circ}$
$V_{B} = \frac{3 x}{2} \times \frac{2}{3} = 3$

Q. A thin rod AB is moving in a vertical plane. At a certain instant when the rod is inclined at 60∘ to the horizontal the point A is moving horizontally with 3m/s while B is moving in the vertical direction. Then velocity of B is

3​1​ms−1

3​ms−1

23​ms−1

23​​ms−1