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Class XI Physics System of Particles & Rotational Motion 9
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Question 1
Moment of inertia of an equilateral triangular lamina ABC, about the axis passing through its centre O and perpendicular to its plane is I0 as shown in the figure. A cavity DEF is cut out from the lamina, where D, E, F are the midpoints of the sides. Moment of inertia of the remaining part of lamina about the same axis is:
Question 2
The moment of inertia of a uniform cylinder of length 
and radius R about its perpendicular bisector is I. What is the ratio 
such that the moment of inertia is minimum?
and radius R about its perpendicular bisector is I. What is the ratio such that the moment of inertia is minimum?Question 3
A circular hole of radius 
is made in a thin uniform disc having mass M and radius R, as shown in figure. The moment of inertia of the remaining portion of the disc about an axis passing through the point O and perpendicular to the plane of the disc is
is made in a thin uniform disc having mass M and radius R, as shown in figure. The moment of inertia of the remaining portion of the disc about an axis passing through the point O and perpendicular to the plane of the disc is Question 4
A block of mass m=0.1 kg is connected to a spring of unknown spring constant k. It is compressed to a distance x from its equilibrium position and released from rest. After approaching half the distance 
from equilibrium position, it hits another block and comes to rest momentarily, while the other block moves with a velocity 3 ms-1. The total initial energy of the spring is:
from equilibrium position, it hits another block and comes to rest momentarily, while the other block moves with a velocity 3 ms-1. The total initial energy of the spring is:Question 5
A 4 g bullet is fired horizontally with a speed of 300 m/s into 0.8 kg block of wood at rest on a table. If the coefficient of friction between the block and the table is 0.3, how far will the block slide approximately? Assume 
Question 6
In the figure shown ABC is a uniform wire. If centre of mass of wire lies vertically below point A, then 
is close to
is close toQuestion 7
Three identical cars A, B and C are moving at the same speed on three bridges. The car A goes on plane bridge. B on a bridge convex upwards and car C on a bridge concave upwards. Let FA, FB and FC be the normal forces exerted by the cars on the bridges when they are at the middle of bridge -
Question 8
A thin uniform rod of length 
and mass m is swinging freely about a horizontal axis passing through its end. Its maximum angular speed is ω. Its centre of mass rises to a maximum height of
and mass m is swinging freely about a horizontal axis passing through its end. Its maximum angular speed is ω. Its centre of mass rises to a maximum height of- 456 attempts
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Mar 18JEE & BITSAT
