Seven homogeneous bricks, each of length $L$, are arranged in shown in figure. Each brick is displaced with respect to the one in contact by $L / 10$. Find the $x$-coordinate of the center of mass relative to the origin shown.
take $O$ as $(0,0)$
brick $A$ and $E$ is from $\left(\frac{L}{10}\right.$ to $\left.L+\frac{L}{10}\right)$
brick $B$ and $D$ is from $\left(\frac{2 L}{10}\right.$ to $\left.L+\frac{2 L}{10}\right)$
brick $C$ is from $\left(\frac{3 L}{10}\right.$ to $\left.L+\frac{3 L}{10}\right)$
$1^{\text {st }}, F$ are from $(0$ to $L)$
For $1^{s t}$ and F bricks, C.O.M= $\left(\frac{L}{2}\right)$
For $B$ and D, C.O.M $=\left(\frac{L}{2}+\frac{2 L}{10}\right)$
(as they are displaced by $\frac{}{\frac{2 L}{10}}$ )
Similarly,
For $A$ and E C.O.M $=\left(\frac{L}{2}+\frac{L}{10}\right)$
For C, C.O.M $=\left(\frac{L}{2}+\frac{3 L}{10}\right)$
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All Study Material
- JEE Main
- Exam Pattern
- Previous Year Papers
- PYQ Chapterwise
- Physics
- Kinematics 1D
- Kinemetics 2D
- Friction
- Work, Power, Energy
- Centre of Mass and Collision
- Rotational Dynamics
- Gravitation
- Calorimetry
- Elasticity
- Thermal Expansion
- Heat Transfer
- Kinetic Theory of Gases
- Thermodynamics
- Simple Harmonic Motion
- Wave on String
- Sound waves
- Fluid Mechanics
- Electrostatics
- Current Electricity
- Capacitor
- Magnetism and Matter
- Electromagnetic Induction
- Atomic Structure
- Dual Nature of Matter
- Nuclear Physics
- Radioactivity
- Semiconductors
- Communication System
- Error in Measurement & instruments
- Alternating Current
- Electromagnetic Waves
- Wave Optics
- X-Rays
- All Subjects
- Physics
- Motion in a Plane
- Law of Motion
- Work, Energy and Power
- Systems of Particles and Rotational Motion
- Gravitation
- Mechanical Properties of Solids
- Mechanical Properties of Fluids
- Thermal Properties of matter
- Thermodynamics
- Kinetic Theory
- Oscillations
- Waves
- Electric Charge and Fields
- Electrostatic Potential and Capacitance
- Current Electricity
- Thermoelectric Effects of Electric Current
- Heating Effects of Electric Current
- Moving Charges and Magnetism
- Magnetism and Matter
- Electromagnetic Induction
- Alternating Current
- Electromagnetic Wave
- Ray Optics and Optical Instruments
- Wave Optics
- Dual Nature of Radiation and Matter
- Atoms
- Nuclei
- Semiconductor Electronics: Materials, Devices and Simple Circuits.
- Chemical Effects of Electric Current,