Question:
In the cube of side $'a'$ shown in the figure, the vector from the central point of the face $ABOD$ to the central point of the face $BEFO$ will be:
In the cube of side $'a'$ shown in the figure, the vector from the central point of the face $ABOD$ to the central point of the face $BEFO$ will be:
Updated On: Sep 27, 2024
- $\frac{1}{2} a \left(\hat{i} -\hat{k}\right) $
- $\frac{1}{2} a \left(\hat{j} -\hat{i}\right) $
- $\frac{1}{2} a \left(\hat{k} -\hat{i}\right) $
- $\frac{1}{2} a \left(\hat{j} -\hat{k}\right) $
Hide Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
$\vec{r}_{g} = \frac{a}{2} \hat{i} + \frac{a}{2} \hat{k} $
$ \vec{r}_{H} =\frac{a}{2} \hat{j} + \frac{a}{2} \hat{k} $
$\vec{ r}_{H} - \vec{r}_{g} = \frac{a}{2} \left(\hat{j} - \hat{i}\right) $
$ \vec{r}_{H} =\frac{a}{2} \hat{j} + \frac{a}{2} \hat{k} $
$\vec{ r}_{H} - \vec{r}_{g} = \frac{a}{2} \left(\hat{j} - \hat{i}\right) $
Was this answer helpful?
0
0
Top Questions on Motion in a plane
- The lowest frequency of the air column in an open pipe of length \( L \) is \( v \) (velocity of sound in air)
- KEAM - 2024
- Physics
- Motion in a plane
- The displacement of the body is given to be proportional to the cube of time elapsed. The magnitude of acceleration of body is
- JKCET - 2024
- Physics
- Motion in a plane
- The speed \( v \) of a wave on a string depends on the tension \( F \) in the string and the mass per unit length \( m/L \) of the string. If it is known that [F] = [ML][T]–2, the values of the constants \( a \) and \( b \) in the following equation for the speed of a wave on a string are: \[ v = (\text{constant}) F^a \left( \frac{m}{L} \right)^b \]
- OJEE - 2024
- Physics
- Motion in a plane
y = a sin(βx + γt)wherex and t represent displacement and time, respectively. Then, the dimensional formula for β— γis:
- TS EAMCET - 2024
- Physics
- Motion in a plane
- The time period of a simple pendulum on the surface of the earth is \( T \). The time period of the same pendulum at a height of 1280 km from the surface of the earth is
- TS EAMCET - 2024
- Physics
- Motion in a plane
View More Questions
Questions Asked in JEE Main exam
- Number of solutions in the interval \( [-2\pi, 2\pi] \) for the equation: \[ 2\sqrt{2} \cos^2 \theta + (2 - \sqrt{6}) \cos \theta - \sqrt{3} = 0 \]
- JEE Main - 2025
- Trigonometry
- The spin-only magnetic moment (\(\mu\)) value (B.M.) of the compound with the strongest oxidising power among \(Mn_2O_3\), \(TiO\), and \(VO\) is ________________________ B.M. (Nearest integer).
- JEE Main - 2025
- Magnetic moment
- Atomic number of element with lowest first ionisation enthalpy is:
- JEE Main - 2025
- Periodic Table
- Let \( z_1, z_2, z_3 \) be three complex numbers on the circle \( |z| = 1 \) with \( \arg(z_1) = -\frac{\pi}{4}, \arg(z_2) = 0 \) and \( \arg(z_3) = \frac{\pi}{4} \). If \( |z_1 \overline{z_2} + z_2 \overline{z_3} + z_3 \overline{z_1}|^2 = \alpha + \beta \sqrt{2} \), where \( \alpha, \beta \in \mathbb{Z} \), then the value of \( \alpha^2 + \beta^2 \) is :
- JEE Main - 2025
- complex numbers
- The kinetic energy of translation of the molecules in 50 g of CO\(_2\) gas at 17°C is:
- JEE Main - 2025
- The Kinetic Theory of Gases
View More Questions
Concepts Used:
Motion in a Plane
It is a vector quantity. A vector quantity is a quantity having both magnitude and direction. Speed is a scalar quantity and it is a quantity having a magnitude only. Motion in a plane is also known as motion in two dimensions.
Equations of Plane Motion
The equations of motion in a straight line are:
v=u+at
s=ut+½ at2
v2-u2=2as
Where,
- v = final velocity of the particle
- u = initial velocity of the particle
- s = displacement of the particle
- a = acceleration of the particle
- t = the time interval in which the particle is in consideration