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 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:
When the cable is broken, the wedge along with the chamber executes a free fall. So, there is no relative motion between the block and the wedge. So, it will remain at rest at the top of the wedge.
An elevator is moving vertically up with an acceleration $$a$$ the force exerted on the floor by a passenger of mass $$m$$ is:
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
A plumb bob is hung from the ceiling of a train compartment, The train moves on an inclined track of inclination $$30^0$$ with horizontal. The acceleration of train up the plane is $$a=g/2$$. The angle which the string supporting the bob makes with normal to the ceiling in equilibrium is