Physics

Figure shows a lamina in the x-y plane. Two axes z and z’ pass perpendicular to its plane. A force F acts in the plane of lamina at point P as shown. Which of the following are true?
a) torque τ caused by F about z-axis is along -\hat{k}
b) torque τ’ caused by F about z’ axis is along-\hat{k}
c) torque τ caused by F about the z-axis is greater in magnitude than that about the z-axis
d) total torque is given be τ = τ + τ’

Correct answers are: b) torque τ’ caused by F about z’ axis is along $-\hat{k}$ c) torque τ caused by F about the z-axis is greater in magnitude than that about the z-axis

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A 14.5 \mathrm{~kg} mass, fastened to the end of a steel wire of unstretched length 1.0 \mathrm{~m}, is whirled in a vertical circle with an angular velocity of 2 \mathbf{r e v} / \mathrm{s} at the bottom of the circle. The crosssectional area of the wire is 0.065 \mathrm{~cm}^{2} . Calculate the elongation of the wire when the mass is at the lowest point of its path.

Mass is given as $m=14.5 \mathrm{~kg}$ Length of the steel wire is given as $\mid=1 \mathrm{~m}$ Angular velocity is given as $v=2$ rev/s Cross-sectional area of the wire is given as $A=0.065 \times...

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a) Derive the expression for the heat produced due to a current I flowing for a time interval t through a resistor R having a potential difference V across its ends. With which name is this relation known? b) How much heat will an instrument of 12W produce in one minute if it is connected to a battery of 12V? c) The current passing through a room heater has been halved. What will happen to the heat produced by it? d) What is meant by the heating effect of current? Give two applications of the heating effect of current. e) Name the material which is used for making the filaments of an electric bulb.

Answer a) The amount of work done when an electric charge Q moves against a potential difference V is: W = Q V = W = Q V = W = Q V = W = Q V (1) We all know that current I = Q/T. IT = Q (2)...

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Answer the following: (a) You can shield a charge from electrical forces by putting it inside a hollow conductor. Can you shield a body from the gravitational influence of nearby matter by putting it inside a hollow sphere or by some other means? (b) An astronaut inside a small space ship orbiting around the earth cannot detect gravity. If the space station orbiting around the earth has a large size, can he hope to detect gravity?

(a). No, no technology has yet been devised to shield a body from gravity because gravity is a property of all matter and is independent of medium. As a result, the gravitational forces would be...

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