Basic Science T...

In the arrangement shown in figure wedge of mass $$M$$ moves towards left with an acceleration $$a$$. All surfaces are smooth. The acceleration of mass $$m$$ relative to wedge is:

Figure shows the graph of x-coordinate of a particle moving along x-axis as  function of time. Average velocity during $$t=0$$ to $$6s$$ and instantaneous velocity at $$t=3s$$ respectively, will be 

A bob of a simple pendulum of length $$2m$$ is moved sideways and whirled in horizontal circle of radius $$1.732m$$. If the mass of the bob is $$2kg$$, then tension in the string is

A particle is in uniform circular motion, then its velocity is perpendicular to

A wheel of mass $$40kg$$ and radius of gyration $$0.5m$$ comes to rest from a speed of $$1800r\pm $$ in $$30s$$. Assuming that the retardation is uniform, the value of the retarding torque in $$Nm$$, is

What is the minimum coefficient of friction for a solid sphere to roll without slipping on an inclined plane of inclination $$\theta$$?

A body is started from rest with acceleration $$2 m/s^{2}$$ till it attains the maximum velocity then retards to rest with 3 $$m/s^{2}$$ It total time taken is 10 second then maximum speed attained is

A partice is at rest and it is at origin $$(0,0)$$ at $$t=0$$. If velocity varies as $$v=k{x}^{2}$$ where $$v$$ is the velocity and $$x$$ is displacement. Find how much distance it will travel in $$2$$ sec

Two identical rings each of  mass m  with their planes mutually  perpendicular , radius R are welded at their point of contact O . If the system is free to rotate about an axis passing through the point p perpendicular to the plane of the paper the moment  of inertia of the system about this axis equal to : 

A body is thrown up with a velocity $$29.23ms!$$ $$V$$ distance travelled in last second of upward motion is