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4.1 , newtons laws of motion — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysics4.1 , newtons laws of motion1 Mark
MCQ
In the adjoining figure if acceleration of $M$ with respect to ground is $a$, then
  • A
    acceleration of $m$ with respect to $M$ is $2a$
  • ✓
    acceleration of $m$ with respect to ground is $2a \ sin (\alpha/2)$ 
  • C
    acceleration of $m$ with respect to ground is $a$
  • D
    acceleration of $m$ with respect to ground is $a\, tan \alpha$
✓

Answer

Correct option: B.
acceleration of $m$ with respect to ground is $2a \ sin (\alpha/2)$ 
b
$a_{0}=\sqrt{a^{2}+a^{2}+2 a^{2} \cos (\pi-\alpha)}$

$a_{0}=2 a \sin \left(\frac{\alpha}{2}\right)$

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