COMEDK · Physics · 5. Laws of Motion
A block of metal, of 25g mass moves down without acceleration when the plane is inclined at an angle of \(30^\circ\). When the inclination is increased by \(30^\circ\), find the downward acceleration of the block.
- A \(5.66\ ms^{-2}\)
- B \(3.8\ ms^{-2}\)
- C \(2.6\ ms^{-2}\)
- D \(1.9\ ms^{-2}\)
Answer & Solution
Correct Answer
(A) \(5.66\ ms^{-2}\)
Step-by-step Solution
Detailed explanation
When the block moves down without acceleration at an angle \(\theta = 30^\circ\), the net force is zero. \(mg \sin 30^\circ = \mu_k mg \cos 30^\circ\) \(\mu_k = \tan 30^\circ = \dfrac{1}{\sqrt{3}}\) When the inclination is increased by \(30^\circ\), the new angle is…
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