A motorcycle is travelling on a curved track of radius $500\,m$. If the coefficient of friction between road and tyres is $0.5$, the speed avoiding skidding will be ....... $m/s$
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A car is moving on a horizontal curved road with radius $50\,m$. The approximate maximum speed of car will be $............\,ms^{-1}$, if friction between tyres and road is $0.34.\left[\right.$ Take $\left.g =10 ms ^{-2}\right]$
A $20\, kg$ block is initially at rest on a rough horizontal surface. A horizontal force of $75 \,N$ is required to set the block in motion. After it is in motion, a horizontal force of $60\, N$ is required to keep the block moving with constant speed. The coefficient of static friction is
A bag is gently dropped on a conveyor belt moving at a speed of $2\,m / s$. The coefficient of friction between the conveyor belt and bag is $0.4$ Initially, the bag slips on the belt before it stops due to friction. The distance travelled by the bag on the belt during slipping motion is $.....m$ [Take $g=10\,m / s ^{-2}$ ]
A vehicle is moving with a velocity $v$ on a curved road of width $b$ and radius of curvature $R.$ For counteracting the centrifugal force on the vehicle, the difference in elevation required in between the outer and inner edges of the road is
A block of wood resting on an inclined plane of angle $30^o$, just starts moving down. If the coefficient of friction is $0.2$, its velocity (in $ms^{-1}$) after $5\, seconds$ is : $(g = 10\, ms^{-2})$
A system consists of three masses $m_1 , m_2$ and $m_3$ connected by a string passing over a pulley $P.$ The mass $m_1$ hangs freely and $m_2$ and $m_3$ are on a rough horizontal table (the coefficient of friction $= \mu ).$ The pulley is frictionless and of negligible mass. The downward acceleration of mass $m_1$ is $(Assume\, m = m_2 = m_3 = m)$