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Suppose the rod in the previous problem has a mass of 1 kg distributed uniformly over its length.
(a) Find the initial angular acceleration of the rod.
(b) Find the tension in the supports to the blocks of mass 2 kg and 5 kg.
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The following figure shows two blocks of mass m and M connected by a string passing over a pulley. The horizontal table over which the mass m slides is smooth. The pulley has a radius r and moment of inertia I about its axis and it can freely rotate about this axis. Find the acceleration of the mass M assuming that the string does not slip on the pulley.
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A metre stick weighing 240 g is pivoted at its upper end in such a way that it can freely rotate in a vertical place through this end (see the following figure). A particle of mass 100 g is attached to the upper end of the stick through a light string of length 1 m. Initially, the rod is kept vertical and the string horizontal when the system is released from rest. The particle collides with the lower end of the stick and sticks there. Find the maximum angle through which the stick will rise.
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A sphere of mass m rolls on a plane surface. Find its kinetic energy at an instant when its centre moves with speed \[\nu.\]
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A small spherical ball is released from a point at a height h on a rough track shown in the following figure. Assuming that it does not slip anywhere, find its linear speed when it rolls on the horizontal part of the track.
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What does it mean to give each person his/her due? How has the meaning of “giving each his due” changed over time?
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Briefly discuss the three principles of justice outlined in the chapter. Explain each with examples.
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Does the principle of considering the special needs of people conflict with the principle of equal treatment for all?
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Citizenship as full and equal membership of a political community involves both rights and obligations. Which rights could citizens expect to enjoy in most democratic state today? What kind of obligation will they have to their state and fellow citizens?
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All citizens may be granted equal rights but all may not be able to equally exercise them. Explain.
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Which of the following do you feel are compatible with the idea of secularism? Give reasons.
(a) Absence of domination of one religious group by another.
(b) Recognition of a state religion.
(c) Equal state support to all religions.
(d) Mandatory prayers in schools.
(e) Allowing separate educational institutions for any minority community.
(f) Appointment of temple management bodies by the government.
(g) Intervention of state to ensure entry of Dalits in temples.
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Why is it necessary for a country to have a clear demarcation of powers and responsibilities in the constitution? What would happen in the absence of such a demarcation?
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What do you understand by secularism? Can it be equated with religious tolerance?
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Do you agree with the following statement? Give reasons for supporting or opposing it.
Secularism does not allow us to have a religious identity.
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Do you agree with the following statement? Give reasons for supporting or opposing it.
Secularism is against inequality within a religious group or between different religious groups.
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Do you agree with the following statement? Give reasons for supporting or opposing it.
Secularism has a western-Christian origin. It is not suitable for India.
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Write true or false against the following statement:
The Constitution guarantees remedy against violation of Rights.
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Which of the following is a correct interpretation of the Cultural and Educational Rights?
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A petition by a human rights group drew attention of the court to the condition of starvation and hunger in the country. Over five crore tonnes of food grains was stored in the godowns of the Food Corporation of India. Research shows that a large number of ration cardholders do not know about the quantity of food grains they can purchase from fair price shops. It requested the court to order the government to improve its public distribution system.
a. Which different rights does this case involve? How are these rights interlinked?
b. Should these rights form part of the right to life?
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Read the statement by Somnath Lahiri in the Constitutent Assembly quoted in this chapter. Do you agree with him? If yes, give instances to prove it. If not, give arguments against his position.
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