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Laws of Motion question

2010 · Q169
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Laws of Motion question

2010 · Q169

NEETPhysicsLaws of MotionMCQ+4 / −1
A block of mass m is in contact with the cart C as shown in the figure.

The coefficient of static friction between the block and the cart is μ\muμ. The acceleration α\alphaα of the cart that will prevent the block from falling satisfies

AIPMT 2010 Prelims Physics - Laws of Motion Question 21 English
  1. A
    α>mgμ\alpha \gt {{mg} \over \mu }α>μmg​
  2. B
    α>gμm\alpha \gt {g \over {\mu m}}α>μmg​
  3. C
    α≥gμ\alpha \ge {g \over \mu }α≥μg​
  4. D
    α<gμ\alpha \lt {g \over \mu }α<μg​
View written solutionFree

Correct answer: C

Forces acting on the block are as shown in the fig. Normal reaction N is provided by the force ma due to acceleration α\alpha α

AIPMT 2010 Prelims Physics - Laws of Motion Question 21 English Explanation

∴\therefore∴ N = mα\alpha α

For the block not to fall, frictional force, Ff≥mg{F_f} \ge mgFf​≥mg

⇒μN≥mg \Rightarrow \mu N \ge mg⇒μN≥mg

⇒μmα≥mg \Rightarrow \mu m\alpha \ge mg⇒μmα≥mg

⇒α≥g/μ\Rightarrow \alpha \ge g/\mu⇒α≥g/μ

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