1
JEE Main 2014 (Offline)
+4
-1
A block of mass $$m$$ is placed on a surface with a vertical cross section given by $$y = {{{x^3}} \over 6}.$$ If the coefficient of friction is $$0.5,$$ the maximum height above the ground at which the block can be placed without slipping is:
A
$${1 \over 6}m$$
B
$${2 \over 3}m$$
C
$${1 \over 3}m$$
D
$${1 \over 2}m$$
2
AIEEE 2012
+4
-1
A particle of mass $$m$$ is at rest at the origin at time $$t=0.$$ It is subjected to a force $$F\left( t \right) = {F_0}{e^{ - bt}}$$ in the $$x$$ direction. Its speed $$v(t)$$ is depicted by which of the following curves?
A B C D 3
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
4
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
$${{mF} \over {\left( {m + M} \right)}}$$
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