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Find the maximum velocity for skidding for a car moving on a circular track of radius 100 m. The coefficient of friction between the road and tyre is 0.2.
A cyclist turns around a curve at $15 \text{ miles/hour}$. If he turns at double the speed, the tendency to overturn is:
A truck is stationary and has a bob suspended by a light string in a frame attached to the truck. The truck suddenly moves to the right with an acceleration of $a$. In the frame of the truck, the pendulum will tilt:
A block of mass $m$ is placed on a smooth inclined wedge ABC of inclination $\theta$ as shown in the figure. The wedge is given an acceleration '$a$' towards the right. The relation between $a$ and $\theta$ for the block to remain stationary on the wedge is:
A block $B$ is pushed momentarily along a horizontal surface with an initial velocity $v$. If $\mu$ is the coefficient of sliding friction between $B$ and the surface, the block $B$ will come to rest after a time:
A person of mass $60 \text{ kg}$ is inside a lift of mass $940 \text{ kg}$ and presses the button on control panel. The lift starts moving upwards with an acceleration $1.0 \text{ m/s}^2$. If $g=10 \text{ m/s}^2$, the tension in the supporting cable is:
Three charges $+4q$, $Q$ and $q$ are placed in a straight line of length $l$ at points $0$, $l/2$ and $l$ distance away from one end respectively. What should be $Q$ in order to make the net force on $q$ to be zero?
If a person with a spring balance and a body hanging from it goes up and up in an aeroplane, then the reading of the weight of the body as indicated by the spring balance will:
A body of mass $M$ hits normally a rigid wall with velocity $v$ and bounces back with the same velocity. The impulse experienced by the body is:
On the horizontal surface of a truck ($\mu = 0.6$), a block of mass 1 kg is placed. If the truck is accelerating at the rate of $5 \text{ m/s}^2$, then the frictional force on the block will be:
An object with a mass 10 kg moves at a constant velocity of $10 \text{ m/s}$. A constant force then acts for 4 seconds on the object and gives it a speed of $2 \text{ m/s}$ in the opposite direction. The acceleration produced in it is:
A player caught a cricket ball of mass 150 g moving at a rate of 20 m/s. If the catching process be completed in 0.1 s, then the force of the blow exerted by the ball on the hands of the player is:
Starting from rest, a body slides down a 45° inclined plane in twice the time it takes to slide down the same distance in the absence of friction. The coefficient of friction between the body and the inclined plane is:
A cricket ball of mass 250 g collides with a bat with velocity 10 m/s and returns with the same velocity within 0.01 second. The force acted on bat is:
Two bodies of mass $3 \text{ kg}$ and $4 \text{ kg}$ are suspended at the ends of a massless string passing over a frictionless pulley. The acceleration of the system is ($g = 9.8 \text{ m/s}^2$)
A body of $5 \text{ kg}$ is moving with a velocity of $20 \text{ m/s}$. If a force of $100 \text{ N}$ is applied on it for $10 \text{ sec}$ in the same direction as its velocity, what will now be the velocity of the body?
The tension in the string revolving in a vertical circle with a mass $m$ at the end which is at the lowest position is:
A block of mass $m$ is placed on a smooth wedge of inclination $\theta$. The whole system is accelerated horizontally so that the block does not slip on the wedge. The force exerted by the wedge on the block ($g$ is acceleration due to gravity) will be:
A body of mass $2 \text{ kg}$ has an initial velocity of $3 \text{ m/s}$ along $OE$ and it is subjected to a force of $4 \text{ N}$ in a direction perpendicular to $OE$. The distance of the body from $O$ after $4 \text{ seconds}$ will be:
Calculate the maximum acceleration of a moving car so that a body lying on the floor of the car remains stationary. The coefficient of static friction between the body and the floor is $0.15$. (take $g=10 \text{ m s}^{-2}$)