Two stones of masses and are whirled in horizontal circles, the heavier one in radius and the lighter one in radius . The tangential speed of lighter stone is times that of the value of heavier stone when they experience same centripetal forces. The value of is:
3
4
1
2
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According to question, two stones experience same centripetal force
i.e., or, or,
So, i.e.,
0.6 and 0.5
0.5 & 0.6
0.4 and 0.3
0.6 and 0.6
Coefficient of static friction,
and given
Acceleration of system
The contact force between and
A block of mass rests on a horizontal table. A light string connected to it passes over a frictionless pulley at the edge of table and from its other end another block B of mass is suspended. The coefficient of kinetic friction between the block and the table is . When the block is sliding on the table, the tension in the string is
For the motion of both the blocks
solving we get tension in the string
A car is negotiating a curved road of radius . The road is banked at an angle . the coefficient of friction between the tyres of the car and the road is . The maximum safe velocity on this road is :
On a banked road,
Maximum safe velocity of a car on the banked road
What is the minimum velocity with which a body of mass must enter a vertical loop of radius so that it can complete the loop?
To complete the loop a body must enter a vertical loop of radius with the minimum velocity
One end of string of length is connected to a particle of mass ' ' & the other end is connected to a small peg on a smooth horizontal table. If particle moves in circle with speed ' ' the net force on particle (directed towards centre) will be ( represents the tension in the string)
Zero
Net force on particle in uniform circular motion is centripetal force which is provided by tension in string so the net force will be equal to tension i.e., .
Which one of the following statements is incorrect?
Rolling friction is smaller than sliding friction.
Limiting value of static friction is directly proportional to normal reaction.
Coefficient of sliding friction has dimensions of length.
Frictional force opposes the relative motion.
Coefficient of friction or sliding friction has no dimension.
Let the mass of block is . It will remains stationary if forces acting on it are in equilibrium. i.e.,
Here Pseudo force on block,
weight.
As the velocity is maximum at lowest point so tension is maximum at the lowest position of mass, so the chance of breaking is maximum.
A mass is attached to a thin wire and whirled in a vertical circle. The wire is most likely to break when:
the mass is at the highest point
the wire is horizontal
the mass is at the lowest point
inclined at an angle of from vertical
Given : Mass and . Acceleration of the system, where
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