A car of mass $1000\,kg$ negotiates a banked curve of radius $90\,m$ on a frictionless road. If banking angle is $45^o$ , the maximum speed of car is ............ $m/s$ $[g = 10\,m/s^2]$
A car of mass $1000\,kg$ negotiates a banked curve of radius $90\,m$ on a frictionless road. If banking angle is $45^o$ , the maximum speed of car is ............ $m/s$ $[g = 10\,m/s^2]$
- A
$20$
- B
$30$
- C
$5$
- D
$10$
Similar Questions
The normal reaction $'{N}^{\prime}$ for a vehicle of $800\, {kg}$ mass, negotiating a turn on a $30^{\circ}$ banked road at maximum possible speed without skidding is $...\,\times 10^{3}\, {kg} {m} / {s}^{2}$ [Given $\left.\cos 30^{\circ}=0.87, \mu_{{s}}=0.2\right]$
The normal reaction $'{N}^{\prime}$ for a vehicle of $800\, {kg}$ mass, negotiating a turn on a $30^{\circ}$ banked road at maximum possible speed without skidding is $...\,\times 10^{3}\, {kg} {m} / {s}^{2}$ [Given $\left.\cos 30^{\circ}=0.87, \mu_{{s}}=0.2\right]$
- [JEE MAIN 2021]
A $500\, kg$ crane takes a turn of radius $50 \,m$ with velocity of $36 \,km/hr.$ The centripetal force is ......... $N$
A $500\, kg$ crane takes a turn of radius $50 \,m$ with velocity of $36 \,km/hr.$ The centripetal force is ......... $N$
A train runs along an unbanked circular track of radius $30 \;m$ at a speed of $54\; km / h$ The mass of the train is $10^{6}\; kg$. What provides the centripetal force required for this purpose - The engine or the rails? What is the angle of banking required to prevent wearing out of the rail?
A train runs along an unbanked circular track of radius $30 \;m$ at a speed of $54\; km / h$ The mass of the train is $10^{6}\; kg$. What provides the centripetal force required for this purpose - The engine or the rails? What is the angle of banking required to prevent wearing out of the rail?
A $70 \;kg$ man stands in contact against the inner wall of a hollow cylindrical drum of radius $3\; m$ rotating about its vertical axis with $200\; rev/min$. The coefficient of friction between the wall and his clothing is $0.15 .$ What is the minimum rotational speed (in $rad/s$) of the cylinder to enable the man to remain stuck to the wall (without falling) when the floor is suddenly removed?
A $70 \;kg$ man stands in contact against the inner wall of a hollow cylindrical drum of radius $3\; m$ rotating about its vertical axis with $200\; rev/min$. The coefficient of friction between the wall and his clothing is $0.15 .$ What is the minimum rotational speed (in $rad/s$) of the cylinder to enable the man to remain stuck to the wall (without falling) when the floor is suddenly removed?
A $100 \,kg$ car is moving with a maximum velocity of $9 \,m/s$ across a circular track of radius $30\,m$. The maximum force of friction between the road and the car is ........ $N$
A $100 \,kg$ car is moving with a maximum velocity of $9 \,m/s$ across a circular track of radius $30\,m$. The maximum force of friction between the road and the car is ........ $N$