A cylindrical drum, pushed along by a board rolls forward on the ground. There is no slipping at any contact. The distance moved by the man who is pushing the board, when axis of the cylinder covers a distance `L` will be.
Text Solution
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Let `v_(0)` be the linear speed of the axis of the cylinder and `omega` be its angular speed about the axis. As it does not slip on the ground hence `omega=v_(0)//R`. Where `R` is the radius of the cylinder. Speed time taken by the axis of move a distance `L` is equal to `t=L//v_(0)`. In the same interval of time distance moved by the topmost point is `S=2v_(0)xxL/(v_(0))=2L` As there is no slipping between any point of contact hence distance moved by the man is `2L`.
A bobbin is pushed along on a rough stationary horizontal surface as shown in the figure. The board is kept horizontal and there is no slipping at any contact points. The distance movedby the board when distance moved by the axis of the bobbin is l is .
A man pushes a cylindrical drum through a board of length l as shownin figure-5.109. The drum rolls forward on the ground a distance of (1)/(2) There is no slipping at any instant.During the process of pushing the board the distance moved by the man on the ground is :
A man pushes a cylinder of mass m_1 with the help of a plank of mass m_2 as shown in figure. There in no slipping at any contact. The horizontal component of the force applied by the man is F. (a) the acceleration fo the plank and the center of mass of the cylinder, and (b) the magnitudes and direction of frictional force at contact points.
A boy pushes a cylinder of mass M with the help of a plank of mass m as shown in figure. There is no slipping at any contact. The horizontal component of the force applied by the boy on the plank is F. Find (a) The acceleration of the centre of the cylinder (b) The friction force between the plank and the cylinder
Consider a cylinder of mass M and radius R lying on a rough horizontal plane. It has a plank lying on its top as shown in the figure. A force F is applied on the plank such that the plank moves and causes the cylinder to roll. The plank always remains horizontal. There is no slipping at any point to contact. (a) what are the directions of the fricition forces acting at A and B on the plank and the cylinder ? (b) Calculate the acceleration of the cylinder. (c ) Find the value of frictional force at A & B .
A string of negligible thicknes is wrapped several times around a cylinder kept on a rough horizontal surface. A man standing at a distance l from the cylinder holds one end of the sitting an pulls the cylinder towards him figure. There is no slipping anywhere. The length of the string passed through the hand of the man whicle the cylinder reaches his hands is
A man of mass 80kg pushes box of mass 20kg horizontaly. The man moves the box with a constant acceleration of 2 m//s^(2) but his foot does not slip on the ground. There is no friction between the box and the ground. There is no friction between the box and the ground. whereas there is sufficient friction between the man's foot and the ground to prevent him from slipping. Assertion:- The force applied by the man on the box is equal and opposite to the force applied by the force applid by the box on the man. Reason:- Friction force applied by the ground on the man is 200N.
A man of mass 80kg pushes a box of mass 20kg horizontally. The man moves the box with a constant acceleration of 2m//s^(2) but his foot does not slip on the ground. There is no friciton between the box and the ground, whereas there is sufficient friction between the man's foot and the ground to prevent him from slipping. Assertion :- The force applied by the man on the box is equal and opposite to the force applied by the force applied by the box on the man. Reason :- Friction force applied by the ground on the man is 200N .
