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Dynamics of Circular Motion

(a) How many revolutions per minute must the apparatus shown i

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Medium

Solving time: 3 mins

(a) How many revolutions per minute must the apparatus shown in figure make about a vertical axis so that the cord makes an angle of $4 5^{\circ}$ with the vertical?

(b) What is the tension in the cord then? Given, $l = 2 m, a = 20 cm$ and $m = 5.0 kg$ ?

Name: Video solution 1: (a) How many revolutions per minute must the apparatus shown in figure make about a vertical axis so that the cord makes an angle of 45∘ with the vertical?(b) What is the tension in the cord then? Given, l=2 m,a=20 cm and m=5.0 kg ?
Uploaded: 2023-02-05T09:31:26.000Z
Duration: 6 min
Description: Video solution 1: (a) How many revolutions per minute must the apparatus shown in figure make about a vertical axis so that the cord makes an angle of 45∘ with the vertical?(b) What is the tension in the cord then? Given, l=2 m,a=20 cm and m=5.0 kg ?

Views: 6,261 students

Updated on: Feb 5, 2023

Book:

Mechanics Volume 1 (DC Pandey)

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Noah Discussed

(a) How many revolutions per minute must the apparatus shown in figure make about a vertical axis so that the cord makes an angle of

4 5^{\circ}

with the vertical?

(b) What is the tension in the cord then? Given,

l = 2 m, a = 20 cm

and

m = 5.0 kg

8 mins ago

Discuss this question LIVE

8 mins ago

Text solutionVerified

(a)

r = a + l sin 4 5^{\circ} = (0.2) + (2) (\frac{1}{2}) = 1.2 m

Now,

T cos 4 5^{\circ} = m g

and

T sin 4 5^{\circ} = m r ω^{2}

From Eqs. (i) and (ii), we have

ω = 2 nπ = \frac{g}{r}

∴ n = \frac{1}{2 π} \frac{g}{r} = \frac{60}{2 π} \frac{9.8}{1.2} rpm = 27.3 rpm

(b) From Eq. (i), we have

T = 2 m g = (2) (5.0) (9.8)

= 69.3 N

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Question Text	(a) How many revolutions per minute must the apparatus shown in figure make about a vertical axis so that the cord makes an angle of $4 5^{\circ}$ with the vertical? (b) What is the tension in the cord then? Given, $l = 2 m, a = 20 cm$ and $m = 5.0 kg$ ?
Updated On	Feb 5, 2023
Topic	Laws of motion
Subject	Physics
Class	Class 11
Answer Type	Text solution:1 Video solution: 1
Upvotes	165
Avg. Video Duration	6 min

(a) How many revolutions per minute must the apparatus shown in figure make about a vertical axis so that the cord makes an angle of $4 5^{\circ}$ with the vertical?

(b) What is the tension in the cord then? Given, $l = 2 m, a = 20 cm$ and $m = 5.0 kg$ ?

Text solutionVerified

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(a) How many revolutions per minute must the apparatus shown in figure make about a vertical axis so that the cord makes an angle of 45∘ with the vertical?(b) What is the tension in the cord then? Given, l=2​ m,a=20 cm and m=5.0 kg ?

Text solutionVerified

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(a) How many revolutions per minute must the apparatus shown in figure make about a vertical axis so that the cord makes an angle of $4 5^{\circ}$ with the vertical?

(b) What is the tension in the cord then? Given, $l = 2 m, a = 20 cm$ and $m = 5.0 kg$ ?