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A body of mass \( 1 \, \text{kg} \) is suspended with the help of two strings making angles as shown in figure. Magnitudes of tensions \( T_1 \) and \( T_2 \), respectively, are (in \( \text{N} \)) : (Take acceleration due to gravity \( 10 \, \text{m}/\text{s}^2 \))

A car of mass '\( m \)' moves on a banked road having radius '\( r \)' and banking angle \( \theta \). To avoid slipping from banked road, the maximum permissible speed of the car is \( v_{0} \). The coefficient of friction \( \mu \) between the wheels of the car and the banked road is:

A string of length \( L \) is fixed at one end and carries a mass of \( M \) at the other end. The mass makes \(\displaystyle \left(\frac{3}{\pi}\right) \) rotations per second about the vertical axis passing through end of the string as shown. The tension in the string is __________ \( ML \).

A balloon and its content having mass \( M \) is moving up with an acceleration \( 'a '\). The mass that must be released from the content so that the balloon starts moving up with an acceleration \( '3a '\) will be
(Take \( 'g' \) as acceleration due to gravity)

A cubic block of mass \( m \) is sliding down on an inclined plane at \( 60^\circ \) with an acceleration of \( \dfrac{g}{2} \), the value of coefficient of kinetic friction is:

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JEE MAIN 2025 7th April Morning Shift

A cubic block of mass \( m \) is sliding down on an inclined plane at \( 60^\circ \) with an acceleration of \( \dfrac{g}{2} \), the value of coefficient of kinetic friction is: