A 'T' shaped object with dimensions shown in the figure, is lying on a smooth floor. A froce `'vacF'` is applied at the point P parallel to AB, such that the object has only the translational motion without rotaion. Find the location of P with respect C.
A
`(3)/(2)l`
B
`(2)/(3)l`
C
l
D
`(4)/(3)l`
Text Solution
Verified by Experts
The correct Answer is:
D
(d) To have linear motion, the force `vecF` has to be applied at centre of mass. i.e. the point 'P' has to be at the centre of mass `y=(m_1y_1+m_2y_2)/(m_1+m_2) = (mxx2l+2mxxl)/(3m) = (4l)/(3)`
Topper's Solved these Questions
ROTATIONAL MOTION
SUNIL BATRA (41 YEARS IITJEE PHYSICS)|Exercise MCQs with one correct answer|1 Videos
MOTION
SUNIL BATRA (41 YEARS IITJEE PHYSICS)|Exercise JEE Main And Advanced|63 Videos
SIMPLE HARMONIC MOTION
SUNIL BATRA (41 YEARS IITJEE PHYSICS)|Exercise JEE Main And Advanced|69 Videos
Similar Questions
Explore conceptually related problems
An inverted T -shaped object is placed on a horizontal floor as shown in Fig. A force F is applied on the system as shown in Fig. The value of x so that the system performs pure translational motion is
Portion AB of the wedge shown in figure is rough and BC is smooth. A solid cylinder rolld without slipping from A to B . Find the ratio of translational kinetic energy to rotationa linetic energy, when the cylinder reaches point C . .
In the arrangements shown in the figure there is friction only between the light string and the sharp spike at the point P. when the blocks are in motion, the tensions in the vertical and horizontal sections of the string are 4N and 3N respectively. The co-efficient of friction between the string and the spike is equal to
A point is placed in front of thick plane mirror as shown in figure. Find the location of final image w.r.t. object.
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 .
In the above figure, AB is parallel to CD. P and R are the points on AB and CD respectively. Q is in between AB and CD. Find the value of x in degrees
A cuboidal elevator cabon is shown in the figure. A ball is thrown from point A on the floor of cabon when the elevator is falling under gravity. The plane of motions is ABCD and the angle of projection of the ball with AB, relative to elevator, if the ball collides with point C, is alpha . Then find the value of tan alpha .
A smooth disc of mass M and radius (L)/(sqrt(3)) is placed at rest horizontally on a smooth horizontal surface. A massless pin is fixed at point P at a distance L//2 from centre O of the disc as shown in the figure. Now a thin uniform rod of mass M and length L is placed horizontally on the surface of the disc parallel to the line OP such that its mid point and centre O of the disc just coincide as shown in figure. Now rod has given angular velocity omega_(0)=24 rad//sec in counter clockwies direction as shown. As a result, the end of the rod strikes the pin P and stricks to it rigidly. Calculate the angular velocity of disc just after collision.
SUNIL BATRA (41 YEARS IITJEE PHYSICS)-ROTATIONAL MOTION-MCQs with one correct answer