SATHEE: Laws Of Motion Question 403

Laws Of Motion Question 403

Question: The member OA rotates about a horizontal axis through O with a constant counter clockwise velocity $ω = 3$

$Math input error$ . As it passes the position $θ = 0^{o}$ , a small mass m is placed upon it at a radial distance r = 0.5 m. If the mass is observed to slip at $θ = 37^{o}$ , the coefficient of friction between the mass & the member is:

Options:

A) $\frac{3}{16}$

B) $\frac{9}{16}$

C) $\frac{4}{9}$

D) $\frac{5}{9}$

Show Answer

Answer:

Correct Answer: A

Solution:

As the mass is at the verge of slipping

$∴$ $m g \sin 37 - μ m g \cos 37 = m ω^{2} r$

$6 - 8 μ = 4.5$

$∴$ $μ = \frac{3}{16}$

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Laws Of Motion Question 403

Question: The member OA rotates about a horizontal axis through O with a constant counter clockwise velocity ω=3

Options:

Answer:

Solution:

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Question: The member OA rotates about a horizontal axis through O with a constant counter clockwise velocity $ω = 3$