Q125 / 160 · TS EAMCET 2021 (04 Aug Shift 2) · Physics

The y-component of vector $\vec{A}$ is $+ 3.0 m$ . If A makes an angle of $30 °$ counter-clockwise from the positive $y$ - axis, the magnitude of $\vec{A}$ is (assume $\vec{A}$ is in $x - y$ plane)

Correct answer
A
$2 \sqrt{3} m$
B
$\sqrt{11} m$
C
$\sqrt{15} m$
D
$\sqrt{21} m$

Solution

From the above diagram, we can make the direction of vector now we can find the magnitude of a vector from the order of component,
$A = A' \cos 30^{0} \Rightarrow A' = \frac{3}{\frac{\sqrt{3}}{2}} = 2 \sqrt{3} m$ .

Hence, the correct answer is option: 'A'.

Relevant Questions

A man of mass 60 kg is standing in a lift moving up with a retardation of . The apparent weight of the man is02 May, 2025 (M)Equilibrium of Forces
A 20 ton truck is travelling along a curved path of radius 240 m . If the center of gravity of the truck above the ground is 2 m and the dis09 May, 2024 (E)Equilibrium of Forces
Two blocks of masses and are suspended from the ends of a light string passing over a smooth fixed pulley. If the pulley is pulled up with a13 May, 2023 (E)Equilibrium of Forces
A particle leaves the origin with initial velocity v = 3 i ^ m s - 1 and a constant acceleration a = - 1 i ^ - 0 . 5 j ^ m s - 2 . The posit05 Aug, 2021 (M)Equilibrium of Forces
A car moves on a horizontal circular road of the radius, 16 m with the increasing speed at a constant rate of 3 m s - 2 . If the coefficient04 Aug, 2021 (E)Equilibrium of Forces
In the pulley system, the mass of ball is 1.2 times greater than the mass of the rod. The length of the rod is . The ball is set on the same09 Sep, 2020 (E)Equilibrium of Forces

The y-component of vector A→ is +3.0 m. If A makes an angle of 30° counter-clockwise from the positive y- axis, the magnitude of A→ is (assume A→ is in x-y plane)

Solution

Relevant Questions

The y-component of vector $\vec{A}$ is $+ 3.0 m$ . If A makes an angle of $30 °$ counter-clockwise from the positive $y$ - axis, the magnitude of $\vec{A}$ is (assume $\vec{A}$ is in $x - y$ plane)