Kinematics
Mark the correct statements :
Linear velocity of the $$CM$$ of rod is
Mark the correct statements :
A particle of mass $$m$$ and charge $$q$$ is released from rest at the origin as shown in the figure. The speed of the particle when it has travelled a distance $$d$$ along the z-axis is given by:-
In a two dimensional motion, instantaneous speed $$ { v }_{ 0 } $$ is a positive constant. Then which of the following are necessarily true?
In one dimensional motion, instantaneous speed $$v$$ satisfies the condition, $$ 0 \leq v < v_0$$,when
You pull a short refrigerator with a constant force across a greased (frictionless) floor,either with horizontal (case 1) or with tilted upward at an angle u(case 2).(a)What is the ratio of the refrigerator’s speed in case 2 to its speed in case 1 if you pull for a certain time t? (b) What is this ratio if you pull for a certain distance d?
A small ball rolls horizontally off the edge of a tabletop that is $$1.20 m$$ high. It strikes the floor at a point $$1.52 m$$ horizontally from the table edge. (a) How long is the ball in the air? (b) What is its speed at the instant it leaves the table?
A cyclist turns around a curve at 15 miles/hour. If he turns at double the speed, the tendency to overturn is
The coordinates of a moving particle at any time $$t$$ are given by $$x=c{ t }^{ 2 }$$ and $$y=b{ t }^{ 2 }$$. Then the speed of the particle is given by
The numerical value of ratio of instantaneous velocity to instantaneous speed is
A particle moving with an initial velocity $$ \hat { i } -4\hat { j } +10\hat { k } $$ has acceleration $$ \hat { i } +\hat { j } -2\hat { k } $$. Its velocity at the end of 2 seconds, points along the unit vector: