# GATE2015-2-35

In a certain slider-crank mechanism, lengths of crank and connecting rod are equal. If the crank rotates with a uniform angular speed of $14$ $rad/s$ and the crank length is $300$ $mm$, the maximum acceleration of the slider (in $m$/$s^2$) is ___________

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## Related questions

The initial velocity of an object is $40$ $m/s$. The acceleration a of the object is given by the following expression: $a=-0.1v$ where $v$ is the instantaneous velocity of the object. The velocity of the object after $3$ seconds will be _______
A small ball of mass $1$ $kg$ moving with a velocity of $12$ $m/s$ undergoes a direct central impact with a stationary ball of mass $2$ $kg$. The impact is perfectly elastic. The speed (in $m/s$) of $2$ $kg$ mass ball after the impact will be ____________
A truck accelerates up a $10^0$ incline with a crate of $100$ $kg$. Value of static coefficient of friction between the crate and the truck surface is $0.3$. The maximum value of acceleration (in $m$/$s^2$) of the truck such that the crate does not slide down is _______
A hollow shaft of $1 \: m$ length is designed to transmit a power of $30\: kW$ at $700 \text{rpm}$. The maximum permissible angle of twist in the shaft is $1^{\circ}$. The inner diameter of the shaft is $0.7$ times the outer diameter. The modulus of rigidity is $80 \: GPa$. The outside diameter (in $mm$) of the shaft is__________
A cantilever beam with square cross-section of $6 \: mm$ side is subjected to a load of $2 \: kN$ normal to the top surface as shown in the figure. The Young’s modulus of elasticity of the material of the beam is $210 \: GPa$. The magnitude of slope (in radian) at $Q$ ($20 \: mm$ from the fixed end) is ________