Hooke's Law
Hooke’s Law : āĻšā§āĻā§° āύā§āϤāĻŋ
Hooke’s Law states that within the elastic limit, the extension produced in a material is directly proportional to the applied load or force. Hooke’s Law āĻ āύā§āϏ⧰āĻŋ elastic limit-ā§° āĻāĻŋāϤ⧰āϤ āĻā§āύ⧠āĻŦāϏā§āϤā§āϤ āĻšā§ā§ąāĻž āĻĒā§ā§°āϏāĻžā§°āĻŖ (extension) āĻĒā§ā§°āϝāĻŧā§āĻ āĻā§°āĻž āĻŦāϞ āĻŦāĻž āĻāĻžā§°ā§° āϏā§āϤ⧠āϏāĻŽāĻžāύā§āĻĒāĻžāϤāĻŋāĻāĨ¤
Formula / āϏā§āϤā§ā§° : F = kx
Where / āϝ’āϤ : i. F = Load or Force (āĻŦāϞ āĻŦāĻž āĻāĻžā§°), ii. k = Spring Constant (āϏā§āĻĒā§ā§°āĻŋāĻ āϧā§ā§°ā§ā§ąāĻ), iii. x = Extension (āĻĒā§ā§°āϏāĻžā§°āĻŖ)
Important Point / āĻā§ā§°ā§āϤā§āĻŦāĻĒā§āϰā§āĻŖ āĻāĻĨāĻž
- More force produces more extension.(āĻ āϧāĻŋāĻ āĻŦāϞ⧠āĻ āϧāĻŋāĻ āĻĒā§ā§°āϏāĻžā§°āĻŖ āĻāĻāĻžāϝāĻŧāĨ¤)
- Hooke’s law is valid only within elastic limit. (Hooke’s law āĻā§ā§ąāϞ elastic limit-ā§° āĻāĻŋāϤ⧰āϤāĻšā§ āϏāϤā§āϝāĨ¤)
Elastic Limit (āϏā§āĻĨāĻŋāϤāĻŋāϏā§āĻĨāĻžāĻĒāĻ āϏā§āĻŽāĻž): Elastic limit is the maximum limit up to which a body returns to its original shape after removing the force. āϏā§āĻĨāĻŋāϤāĻŋāϏā§āĻĨāĻžāĻĒāĻ āϏā§āĻŽāĻž āĻšā§āĻā§ āϏā§āĻ āϏ⧰ā§āĻŦāĻžāϧāĻŋāĻ āϏā§āĻŽāĻž āϝ’āϞā§āĻā§ āĻŦāϞ āĻāĻāϤ⧰ā§ā§ąāĻžā§° āĻĒāĻŋāĻāϤ āĻŦāϏā§āϤā§āĻā§ āĻĒā§āύ⧰ āĻāĻā§° āĻāĻāĻžā§°āϞ⧠āĻā§ā§°āĻŋ āĻāĻšā§āĨ¤
Example / āĻāĻĻāĻžāĻšā§°āĻŖ : When a spring is stretched by hanging weights, its extension increases proportionally with the load. āϏā§āĻĒā§ā§°āĻŋāĻāϤ āĻāĻžā§° āĻāϞā§āĻŽāĻžāϞ⧠āϤāĻžā§° āĻĒā§ā§°āϏāĻžā§°āĻŖ āĻāĻžā§°ā§° āϏā§āϤ⧠āϏāĻŽāĻžāύā§āĻĒāĻžāϤāĻŋāĻāĻāĻžā§ąā§ āĻŦā§āĻĻā§āϧāĻŋ āĻĒāĻžāϝāĻŧāĨ¤
Applications / āĻŦā§āĻ¯ā§ąāĻšāĻžā§°: i. Spring balance (āϏā§āĻĒā§ā§°āĻŋāĻ āĻŦā§āϞā§āύā§āϏ), ii. Vehicle suspension systems (āĻāĻžāĻĄāĻŧā§ā§° suspension system), ii. Measuring force (āĻŦāϞ āĻā§āĻāĻž)
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Hooke’s Law – 2 Marks Questions with Answers : āĻšā§āĻā§° āύā§āϤāĻŋ – ⧍ āύāĻŽā§āĻŦā§°ā§° āĻĒā§ā§°āĻļā§āύā§āϤā§āϤ⧰
1. State Hooke’s Law. Hooke’s Law āĻāϞā§āϞā§āĻ āĻā§°āĻžāĨ¤
Ans: Hooke’s Law states that within the elastic limit, extension is directly proportional to the applied force or load. āĻāϤā§āϤ⧰: Hooke’s Law āĻ āύā§āϏ⧰āĻŋ elastic limit-ā§° āĻāĻŋāϤ⧰āϤ āĻĒā§ā§°āϏāĻžā§°āĻŖ āĻĒā§ā§°āϝāĻŧā§āĻ āĻā§°āĻž āĻŦāϞ āĻŦāĻž āĻāĻžā§°ā§° āϏā§āϤ⧠āϏāĻŽāĻžāύā§āĻĒāĻžāϤāĻŋāĻāĨ¤
2. Write the formula of Hooke’s Law. Hooke’s Law-ā§° āϏā§āϤā§ā§° āϞāĻŋāĻāĻžāĨ¤
Ans: F = kx
Here, F is force, k is spring constant, and x is extension.
āĻāϤā§āϤ⧰: āĻāϝāĻŧāĻžāϤ āĻšā§āĻā§ āĻŦāϞ, āĻšā§āĻā§ spring constant āĻā§°ā§ āĻšā§āĻā§ āĻĒā§ā§°āϏāĻžā§°āĻŖāĨ¤
3. What is elastic limit ? Elastic limit āĻāĻŋ ?
Ans: Elastic limit is the maximum limit up to which a body regains its original shape after removing the force. āĻāϤā§āϤ⧰: Elastic limit āĻšā§āĻā§ āϏā§āĻ āϏ⧰ā§āĻŦāĻžāϧāĻŋāĻ āϏā§āĻŽāĻž āϝ’āϞā§āĻā§ āĻŦāϞ āĻāĻāϤ⧰ā§ā§ąāĻžā§° āĻĒāĻŋāĻāϤ āĻŦāϏā§āϤā§āĻā§ āĻāĻā§° āĻāĻāĻžā§°āϞ⧠āĻā§ā§°āĻŋ āĻāĻšā§āĨ¤
4. What happens when force on a spring increases ? āϏā§āĻĒā§ā§°āĻŋāĻāϤ āĻŦāϞ āĻŦā§āĻĻā§āϧāĻŋ āĻĒāĻžāϞ⧠āĻāĻŋ āĻāĻā§ ?
Ans: The extension of the spring increases. āĻāϤā§āϤ⧰: āϏā§āĻĒā§ā§°āĻŋāĻā§° āĻĒā§ā§°āϏāĻžā§°āĻŖ āĻŦā§āĻĻā§āϧāĻŋ āĻĒāĻžāϝāĻŧāĨ¤
5. Name one application of Hooke’s Law. Hooke’s Law-ā§° āĻāĻāĻž āĻŦā§āĻ¯ā§ąāĻšāĻžā§° āϞāĻŋāĻāĻžāĨ¤
Ans: Spring balance works on Hooke’s Law. āĻāϤā§āϤ⧰: Spring balance-āĻ Hooke’s Law-ā§° āĻāĻĒā§°āϤ āĻāĻžāĻŽ āĻā§°ā§āĨ¤