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Concepts of Physics  by H. C. Verma
Concepts of Physics

Class 11

HC Verma Part I

1

Chapter 1: Introduction to Physics

35 questions

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2

Chapter 2: Physics and Mathematics

60 questions

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3

Chapter 3: Rest and Motion: Kinematics

88 questions

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4

Chapter 4: The Forces

33 questions

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5

Chapter 5: Newton's Law of Motion

82 questions

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6

Chapter 6: Friction

57 questions

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7

Chapter 7: Circular Motion

63 questions

Q1
A table with smooth horizontal surface is fixed in a cabin that rotates with a uniform angular  velocity ω in a circular path of radius R (In the following figure). A smooth groove AB of length L(<<< R) is made on the surface of the table. The groove makes an angle θ with the radius OA of the circle in which the cabin rotates. A small particle is kept at the point A in the groove and is released to move along AB. Find the time taken by the particle to reach the point B.
Q2
A car moving at a speed of 36 km/hr is taking a turn on a circular road of radius 50 m. A small wooden plate is kept on the seat with its plane perpendicular to the radius of the circular road (In the following figure). A small block of mass 100 g is kept on the seat which rests against the plate. the friction coefficient between the block and the plate is.
(a) Find the normal contact force exerted by the plate on the block.
(b) The plate is slowly turned so that the angle between the normal to the plate and the radius of the road slowly increases.
Find the angle at which the block will just start sliding on the plate.
Q3
A table with smooth horizontal surface is placed in a circle of a large radius R (In the following figure). A smooth pulley of small radius is fastened to the table. Two masses m and 2m placed on the table are connected through a string going over the pulley. Initially the masses are held by a person with the string along the outward radius and then the  system is released from rest (with respect to the cabin). Find the magnitude of the initial acceleration of the masses as seen from the cabin and the tension in the string.
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8

Chapter 8: Work and Energy

101 questions

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9

Chapter 9: Centre of Mass, Linear momentum Collision

119 questions

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10

Chapter 10: Rotational Mechanics

149 questions

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11

Chapter 11: Gravitation

80 questions

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12

Chapter 12: Simple Harmonic Motion

111 questions

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13

Chapter 13: Fluid Mechanics

81 questions

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14

Chapter 14: Some Mechanical Properties of Matter

87 questions

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15

Chapter 15: Wave Motion and Waves on a String

96 questions

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16

Chapter 16: Sound Waves

118 questions

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17

Chapter 17: Light Waves

79 questions

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18

Chapter 18: Geometrical optics

123 questions

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19

Chapter 19: Optical Instruments

52 questions

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20

Chapter 20: Dispersion and Spectra

27 questions

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21

Chapter 21: Speed of Light

14 questions

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22

Chapter 22: Photometry

38 questions

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Question
Hard
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Solving time: 10 mins

A car moving at a speed of 36 km/hr is taking a turn on a circular road of radius 50 m. A small wooden plate is kept on the seat with its plane perpendicular to the radius of the circular road (In the following figure). A small block of mass 100 g is kept on the seat which rests against the plate. the friction coefficient between the block and the plate is.
(a) Find the normal contact force exerted by the plate on the block.
(b) The plate is slowly turned so that the angle between the normal to the plate and the radius of the road slowly increases.
Find the angle at which the block will just start sliding on the plate.
Centripetal force

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Text SolutionText solutionverified iconVerified

Given :
Speed of the car
Radius of the road
Friction coefficient between the block and the plate
Mass of the small body
(a) Let us find the normal contact force (N) exerted by the plant of the block.

(b) The plate is turned; so, the angle between the normal to the plate and the radius of the rod slowly increases.
Therefore, we have :

On using i and ii, we get:

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Question Text
A car moving at a speed of 36 km/hr is taking a turn on a circular road of radius 50 m. A small wooden plate is kept on the seat with its plane perpendicular to the radius of the circular road (In the following figure). A small block of mass 100 g is kept on the seat which rests against the plate. the friction coefficient between the block and the plate is.
(a) Find the normal contact force exerted by the plate on the block.
(b) The plate is slowly turned so that the angle between the normal to the plate and the radius of the road slowly increases.
Find the angle at which the block will just start sliding on the plate.
Updated OnSep 28, 2022
TopicSystem of Particles and Rotational Motion
SubjectPhysics
ClassClass 11
Answer TypeText solution:1 Video solution: 7
Upvotes556
Avg. Video Duration7 min