G L Mittal and TARUN MITTAL Solutions for Chapter: Centre of Mass, Exercise 1: FOR DIFFERENT COMPETITIVE EXAMINATIONS

Author:G L Mittal & TARUN MITTAL

G L Mittal Physics Solutions for Exercise - G L Mittal and TARUN MITTAL Solutions for Chapter: Centre of Mass, Exercise 1: FOR DIFFERENT COMPETITIVE EXAMINATIONS

Attempt the practice questions on Chapter 13: Centre of Mass, Exercise 1: FOR DIFFERENT COMPETITIVE EXAMINATIONS with hints and solutions to strengthen your understanding. ISC Physics Class XI Part 1 solutions are prepared by Experienced Embibe Experts.

Questions from G L Mittal and TARUN MITTAL Solutions for Chapter: Centre of Mass, Exercise 1: FOR DIFFERENT COMPETITIVE EXAMINATIONS with Hints & Solutions

HARD
11th ICSE
IMPORTANT

A uniform thin cylindrical disk of mass M and radius R is attached to two identical massless springs of spring constant k which are fixed to the wall as shown in the figure. The springs are attached to the axle of the disk symmetrically on either side at a distance d from its centre. The axle is massless and both the springs and the axle are in horizontal plane. The un-stretched length of each spring is L. The disk is initially at its equilibrium position with its centre of mass (CM) at a distance L from the wall. The disk rolls without slipping with velocity V0=V0i^ The coefficient of friction is μ

The net external force acting on the disk when its centre of mass is at displacement x with respect to its equilibrium position is?

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HARD
11th ICSE
IMPORTANT

A uniform thin cylindrical disk of mass M and radius R is attached to two identical massless springs of spring constant k which are fixed to the wall as shown in the figure. The springs are attached to the axle of the disk symmetrically on either side at a distance d from its centre. The axle is massless and both the springs and the axle are in horizontal plane. The un-stretched length of each spring is L. The disk is initially at its equilibrium position with its centre of mass (CM) at a distance L from the wall. The disk rolls without slipping with velocity V0=V0i^ The coefficient of friction is μ

The centre of mass undergoes simple harmonic motion with angular frequency  ω equal to:

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HARD
11th ICSE
IMPORTANT

A uniform thin cylindrical disk of mass M and radius R is attached to two identical massless springs of spring constant k which are fixed to the wall as shown in the figure. The springs are attached to the axle of the disk symmetrically on either side at a distance d from its centre. The axle is massless and both the springs and the axle are in horizontal plane. The un-stretched length of each spring is L. The disk is initially at its equilibrium position with its centre of mass (CM) at a distance L from the wall. The disk rolls without slipping with velocity V0​​=V0​i^. The coefficient of friction is μ.
The maximum value of V0 for which the disc will roll without slipping is 

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HARD
11th ICSE
IMPORTANT

Two blocks of masses 10 kg, 4 kg are connected by a spring of negligible mass and placed on a frictionless horizontal surface. An Impulse gives a velocity of 14 m/s to the heavier block in the direction of the lighter block. The velocity of the centre of mass is:

HARD
11th ICSE
IMPORTANT

From a uniform circular disc of radius R, a coaxial smaller disc of radius r4 is moved. If  O is the centre of whole disc, then the centre of mass of the remaining disc from O will be will be

MEDIUM
11th ICSE
IMPORTANT

A system of particles contains three masses of 5 g, 2g and 3g respectively. The respective coordinates of these particles are 1, 0,-1, 1, 2,1,and  1,1,-3. The centre of mass of the system is at:

HARD
11th ICSE
IMPORTANT

The drawing in the figure is drawn with the ink of uniform thickness. The mass of ink used to draw each of the two inner circles, and each of the two line segments is m. The mass of the ink used to draw the outer circle is 6 m. The coordinates of the centres of the different parts are: outer circle (0,0), left circle -a.a, right inner circle a,a vertical line 0.0 and horizontal line 0.-a. The y-coordinate of the centre of mass of the ink in this drawing is
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HARD
11th ICSE
IMPORTANT

A thin rod of length L is lying along x-axis with ends at X=0 and X=L. Its linear density (mass/ length) varies with X as kxLn where n can be zero or any positive number. If the position XCM of the centre of mass of the rod is plotted against 'n'.