1
AIEEE 2010
+4
-1
Two fixed frictionless inclined planes making an angle $${30^ \circ }$$ and $${60^ \circ }$$ with the vertical are shown in the figure. Two blocks $$A$$ and $$B$$ are placed on the two planes. What is the relative vertical acceleration of $$A$$ with respect to $$B$$ ?
A
$$4.9m{s^{ - 2}}$$ in horizontal direction
B
$$9.8m{s^{ - 2}}$$ in vertical direction
C
Zero
D
$$4.9m{s^{ - 2}}$$ in vertical direction
2
AIEEE 2007
+4
-1
A block of mass $$m$$ is connected to another block of $$mass$$ $$M$$ by a spring (massless) of spring constant $$k.$$ The block are kept on a smooth horizontal plane. Initially the blocks are at rest and the spring is unstretched. Then a constant force $$F$$ starts acting on the block of mass $$M$$ to pull it. Find the force of the block of mass $$m.$$
A
$${{MF} \over {\left( {m + M} \right)}}$$
B
$${{mF} \over M}$$
C
$${{\left( {M + m} \right)F} \over m}$$
D
$${{mF} \over {\left( {m + M} \right)}}$$
3
AIEEE 2005
+4
-1
A smooth block is released at rest on a $${45^ \circ }$$ incline and then slides a distance $$'d'$$. The time taken to slide is $$'n'$$ times as much to slide on rough incline than on a smooth incline. The coefficient of friction is
A
$${\mu _k} = \sqrt {1 - {1 \over {{n^2}}}}$$
B
$${\mu _k} = 1 - {1 \over {{n^2}}}$$
C
$${\mu _k} = \sqrt {1 - {1 \over {{n^2}}}}$$
D
$${\mu _s} = 1 - {1 \over {{n^2}}}$$
4
AIEEE 2005
+4
-1
Consider a car moving on a straight road with a speed of $$100$$ $$m/s$$. The distance at which car can be stopped is $$\left[ {{\mu _k} = 0.5} \right]$$
A
$$1000$$ $$m$$
B
$$800$$ $$m$$
C
$$400$$ $$m$$
D
$$100$$ $$m$$
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