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Physics Part-I

Laws of motion

A 70 kg man stands in contact against the inner wall of a holl

Physics Part-I

Class 11

NCERT

Chapter 1: Physical World

16 questions

Chapter 2: Units and Measurements

51 questions

Chapter 3: Motion in Straight Line

50 questions

Chapter 4: Motion in a Plane

43 questions

Chapter 5: Laws of motion

52 questions

You may have seen in a circus a motorcyclist driving in vertical loops inside a death well (a hollow spherical chamber with holes, so the spectators can watch from outside). Explain clearly why the motorcyclist does not drop down when he is at the uppermost point, with no support from below. What is the imum speed required at the uppermost position to perform a vertical loop if the radius of the chamber is

25 m

70 k g

man stands in contact against the inner wall of a hollow cylindrical drum of radius

3 m

rotating about its vertical axis with

200 re v /

. The coefficient of friction between the wall and his clothing is

0.15

. What is the imum rotational speed of the cylinder to enable the man to remain stuck to the wall (without falling) when the floor is suddenly removed?

A thin circular loop of radius R rotates about its vertical diameter with an angular frequency

ω

. Show that a small bead on the wire loop remains at its lower most point for

ω \leq g / R

. What is the angle made by the radius vector joining the centre to the bead with the vertical downward direction for

ω = 2 g / R

? Neglect friction.

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Chapter 6: Work, Energy and Power

41 questions

Chapter 7: System of Particles and Rotational Motion

45 questions

Chapter 8: Gravitation

33 questions

Question

Medium

Solving time: 2 mins

A $70 k g$ man stands in contact against the inner wall of a hollow cylindrical drum of radius $3 m$ rotating about its vertical axis with $200 re v /$ . The coefficient of friction between the wall and his clothing is $0.15$ . What is the imum rotational speed of the cylinder to enable the man to remain stuck to the wall (without falling) when the floor is suddenly removed?

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Updated on: Sep 22, 2022

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Physics Part-I (NCERT)

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Evelyn Discussed

70 k g

man stands in contact against the inner wall of a hollow cylindrical drum of radius

3 m

rotating about its vertical axis with

200 re v /

. The coefficient of friction between the wall and his clothing is

0.15

. What is the imum rotational speed of the cylinder to enable the man to remain stuck to the wall (without falling) when the floor is suddenly removed?

6 mins ago

Discuss this question LIVE

6 mins ago

Text solutionVerified

Mass of the man, $m = 70 k g$

Radius of the drum, $r = 3 m$

Coefficient of friction, $μ$ = $0.15$

Frequency of rotation, $ω$ = $200 re v / = 200/60 = 10/3 re v / s$

The necessary centripetal force required for the rotation of the man is provided by the normal force ( $F_{N}$ ).

When the floor revolves, the man sticks to the wall of the drum. Hence, the weight of the man (mg) acting downward is balanced by the frictional force

( $f =$ $F_{N}$ ) acting upward.

Hence, the man will not fall until:

$m g <$ $F_{N} = μ m r ω^{2}$

$ω > g / r μ$

= $(\frac{10}{( 0.15 \times 3 )})^{1/2} = 4.71 r a d / s$

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Practice more questions from Physics Part-I (NCERT)

25 m

70 k g

man stands in contact against the inner wall of a hollow cylindrical drum of radius

3 m

rotating about its vertical axis with

200 re v /

. The coefficient of friction between the wall and his clothing is

0.15

. What is the imum rotational speed of the cylinder to enable the man to remain stuck to the wall (without falling) when the floor is suddenly removed?

A thin circular loop of radius R rotates about its vertical diameter with an angular frequency

ω

. Show that a small bead on the wire loop remains at its lower most point for

ω \leq g / R

. What is the angle made by the radius vector joining the centre to the bead with the vertical downward direction for

ω = 2 g / R

? Neglect friction.

View all

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Question Text	A $70 k g$ man stands in contact against the inner wall of a hollow cylindrical drum of radius $3 m$ rotating about its vertical axis with $200 re v /$ . The coefficient of friction between the wall and his clothing is $0.15$ . What is the imum rotational speed of the cylinder to enable the man to remain stuck to the wall (without falling) when the floor is suddenly removed?
Updated On	Sep 22, 2022
Topic	Laws of motion
Subject	Physics
Class	Class 11
Answer Type	Text solution:1 Video solution: 6
Upvotes	659
Avg. Video Duration	8 min

Text solutionVerified

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