Find the reading of the spring balance shown in figure. The elevator is going up with an acceleration of $g / 10$, the pulley and the string are light and the pulley is smooth.
$\mathrm{T}-1.5 \mathrm{~g}-\frac{\frac{1.5 \mathrm{~g}}{10}}{10}=1.5 \mathrm{a} \mathrm{T}-3 \mathrm{~g}-\frac{3 \mathrm{~g}}{10}=-3 \mathrm{a}$
$\mathrm{T}=1.5 \mathrm{~g}^{\frac{1.5 \mathrm{~g}}{10}}+1.5 \mathrm{a} \mathrm{T}=3 \mathrm{~g}^{\frac{3 \mathrm{~g}}{10}}-3 \mathrm{a}$
$1.5 g^{\frac{1.5 g}{10}}+1.5 a=3 g_{-10}^{\frac{3 g}{10}}-3 a$
$4.5 \mathrm{a}=\frac{11 \mathrm{~g}}{10}$
Force on spring
Balance $=2 \mathrm{~T}$
$=2 \times\left(1.5 a+\frac{1.5 \times 11 g}{10}\right)$
$=2 \times\left(1.5 \times 3.593+\frac{1.5 \times 11 g}{10}\right)$
$=43.1 \mathrm{~N}$
Mass (reading ) of spring $=\frac{F}{g}$
$=\frac{2 T}{g}$
$43.1$
$=9.8=4.4 \mathrm{~kg}$
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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,