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Laws of Motion ...

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  • Question 1
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    Two persons $$P$$ and $$Q$$ of the same height are carrying a uniform beam of length $$3  m$$. If $$Q$$ is at one end, then the distance of $$P$$ from the other end such that $$P$$, $$Q$$ receive loads in the ratio $$5 : 3$$ is:

  • Question 2
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    Figure shows a rod of length $$\ell=1\mathrm{m}$$ and mass $$\mathrm{m}=8$$ kg. lt is hinged at the end P (on wall). At the end Q, a block of mass $$\mathrm{M}=50$$ kg is suspended. At the point R, which is at a distance equal to 25 cm from end Q, a string is connected whose other end is connected in the wall. (Given: $$sin 37^{\mathrm{o}}=\displaystyle \frac{3}{5}$$ and $$\displaystyle \cos 3\gamma=\frac{4}{5}$$) $$(\mathrm{g}$$ $$=$$ $$10\mathrm{m}/\mathrm{s}^{2})$$

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    The horizontal component $$N_{x}$$ and vertical component $$N_{y}$$ of the reaction at end P are given by:

  • Question 3
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    Directions For Questions

    Figure shows a rod of length $$\ell=1\mathrm{m}$$ and mass $$\mathrm{m}=8$$ kg. lt is hinged at the end P (on wall). At the end Q, a block of mass $$\mathrm{M}=50$$ kg is suspended. At the point R, which is at a distance equal to 25 cm from end Q, a string is connected whose other end is connected in the wall. (Given: $$sin 37^{\mathrm{o}}=\displaystyle \frac{3}{5}$$ and $$\displaystyle \cos 3\gamma=\frac{4}{5}$$) $$(\mathrm{g}$$ $$=$$ $$10\mathrm{m}/\mathrm{s}^{2})$$

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    The tension in the string is:

  • Question 4
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    A uniform of rod of length $$l$$ is placed symmetrically on two walls as shown in the figure. The rod is in equilibrium. If $$N_1$$ and $$N_2$$ are the normal forces exerted by the walls on the rod, then :

  • Question 5
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    A uniform rod of mass $$M=2 kg$$ and length $$L$$ is suspended by two smooth hinges 1 and 2 as shown in figure. A force $$F=4N$$ is applied downward at a distance $$L/4$$ from hinge 2. Due to the application of force $$F$$, hinge 2 breaks. At this instant, applied force $$F$$ is also removed. The rod starts to rotate downward about hinge 1. $$(g=10m/s^2)$$

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    The reaction at hinge 1, before hinge 2 breaks, is:

  • Question 6
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    Due to an impulse, the change in momentum of a body is $$1.8 \: kg \: m \: s^{1}$$. If the duration of the impulse is 0.2 s, then what is the force produced in it?


  • Question 7
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    A ladder of length l and mass m is placed against a smooth vertical wall, but the ground is not smooth. Coefficient of friction between the ground and the ladder is $$\mu$$. The angle $$\theta$$ at which the ladder will stay in equilibrium is:

  • Question 8
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    Two uniform boards, tied together with the help of a string, are balanced on a surface as shown in Fig. The coefficient of static friction between boards and surface is 0.5. The minimum value of $$\theta$$, for which this type of arrangement is possible is :

  • Question 9
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    A vehicle is moving with a velocity $$v$$ on a curved road of width $$b$$ and radius of curvature $$R$$. For counteracting the centrifugal force on the vehicle, the difference in elevation required in between the outer and inner edge of the road is

  • Question 10
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    When a bus starts suddenly, the passengers are pushed back. This is an example of which of the following?

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