Two blocks of masses 3 kg and 5 kg are connected by a metal wire going over a smooth pulley. The breaking stress of the metal is \( \frac{24}{\pi} \times 10^2 \) Nm\(^{-2}\). What is the minimum radius of the wire ? (take g=10 ms\(^{-2}\))
The solid cylinder of length 80 cm and mass M has a radius of 20 cm. Calculate the density of the material used if the moment of inertia of the cylinder about an axis CD parallel to AB as shown in figure is 2.7 kg m\(^2\).
The angle between vector \( (\vec{A}) \) and \( (\vec{A} - \vec{B}) \) is:
Match List - I with List - II : Choose the most appropriate answer from the options given below :
Match List -I with List -II
Choose the correct answer from the options given below
a block of mass m slides on the wooden wedge which in turn slides backward on the horizontal surface. The acceleration of the block with respect to the wedge is: [ Given m= 8kg, M=16kg ][Assume all the surfaces shown in the figure to be frictionless]