A trolley is accelerating down an incline of angle $\theta$ with acceleration $g \sin \theta$. Which of the following is correct. $(\alpha$ is the constant angle made by the string with vertical)
$\alpha=0^0$
$\alpha=\theta$
Tension in the string, $T = mg$
Tension in the string, $T=m g \sec \theta$
A coin is dropped in a lift. It takes time $t_1$ to reach the floor when lift is stationary. It takes time $t_2$ when lift is moving up with constant acceleration, then
Two masses $m_1 = 5\, kg$ and $m_2 = 4.8\, kg$ tied to a string are hanging over a light frictionless pulley. ............ $m/s^2$ is the acceleration of the masses when they are free to move . $(g = 9.8\, m/s^2)$
In the above question the speed of the mass when travelled half the maximum distance is
A bucket tied at the end of a $1.6\, m$ long string is whirled in a vertical circle with constant speed. What should be the minimum speed so that the water from the bucket does not spill, when the bucket is at the highest position ............ $m/sec$ (Take $g = 10\, m/sec^2$)
A block of mass $m$ lying on a rough horizontal plane is acted upon by a horizontal force $P$ and another force $Q$ inclined an at an angle $\theta$ to the vertical. The minimum value of coefficient of friction between the block and the surface for which the block will remain in equilibrium is :