Laws of Motion
An elevator is moving vertically up with an acceleration $$a$$ the force exerted on the floor by a passenger of mass $$m$$ is:
A lift is descending with uniform acceleration. To measure the acceleration, a person in the lift drops a coin at the moment when lift was descending with speed 6 ft/s. The coin is 5 ft above the floor of the lift at time it is dropped. The person observes that the coin strikes the floor in 1 second. Calculate from these data, the acceleration of the lift. [Take g = 32 $$ft/s^2$$]
An elevator is moving vertically up with an acceleration $$a$$ the force exerted on the floor by a passenger of mass $$m$$ is:
A smooth wedge $$A$$ is fitted in a chamber hanging from a fixed ceiling near the earth's surface. A block B placed at the top of the wedge takes a time $$T$$ to slide down the length of the wedge and the cable supporting the chamber is broken at the same instant, the block will:
A car is speeding up on a horizontal road with an acceleration $$\alpha$$. Consider the following situations in the car. (i) A ball is suspended from the ceiling through a string and is maintaining a constant angle with the vertical. Find this angle. (ii) A block is kept on a smooth incline and does not slip on the incline. Find the angle of the incline with the horizontal.
A block of mass m is moving on a wedge with the acceleration $$a_0$$. The wedge is moving with the acceleration $$a_1$$. The observer is situated on wedge. The magnitude of pseudo force on the block is
Give the magnitude and direction of the net force acting on a stone of mass $$0.1$$ $$kg$$.(a) Just after it is dropped from the window of a stationary train.(b) Just after it is dropped from the window of a train running at a constant velocity of $$36$$ $$km/h$$.(c) Just after it is dropped from the window of a train accelerating with $$1$$ $$m s^{-2}$$.(d) Lying on the floor of a train which is accelerating with $$1$$ $$m s^{-2}$$, the stone being at rest relative to the train. Neglect air resistance throughout
A horizontal disc rotates with a constant angular velocity $$\omega=6.0\:rad/s$$ about a vertical axis passing through its centre. A small body of mass $$m=0.50\:kg$$ moves along a diameter of the disc with a velocity $$v^\prime=50\:cm/s$$ which is constant relative to the disc. Find the force in newtons that the disc exerts on the body at the moment when it is located at the distance $$r=30\:cm$$ from the rotation axis.
A horizontal smooth rod $$AB$$ rotates with a constant angular velocity $$\omega=2.00\:rad/s$$ about a vertical axis passing through its end $$A$$. A freely sliding sleeve of mass $$m=0.50\;kg$$ moves along the rod from the point $$A$$ with the initial velocity $$v_0=1.00\:m/s$$. Find the Coriolis force acting on the sleeve (in the reference frame fixed to the rotating rod) at the moment when the sleeve is located at the distance $$r=50\:cm$$ from the rotation axis in Newton. (Round off to the nearest integer.)
A plumb line is suspended from a ceiling of a car moving with horizontal acceleration of $$a$$. What will be the angle of inclination with vertical.
A lift accelerated downward with acceleration $$'a'$$. A man in the lift throws a ball upward with acceleration $$a_{0}(a_{0} < a)$$. Then acceleration of ball observed by observer, which is on earth, is
A man of mass $$90\ kg$$ is standing in an elevator whose cable broke suddenly. If the elevator falls freely, the force exerted by the floor on the man is