Part 2-Motion in a plane easy

Welcome to your Part 2-Motion in a plane easy

A road is 10 m wide. Its radius of curvature is 50 m. The outer edge is above the lower edge by a distance of 1.5 m. This road is most suited for the velocity

2.5 m/sec

4.5 m/sec

6.5 m/sec

8.5 m/sec

A particle revolves round a circular path. The acceleration of the particle is

Along the circumference of the circle

Along the tangent

Along the radius

Zero

A particle moves in a circle of radius 25 cm at two revolutions per second. The acceleration of the particle in is m/s²

π²

8π²

4π²

2π²

An electric fan has blades of length 30 cm as measured from the axis of rotation. If the fan is rotating at 1200 r. p.m. The acceleration of a point on the tip of the blade is about

1600 m/s²

4740 m/s²

2370 m/s²

5055 m/s²

The force required to keep a body in uniform circular motion is

Centripetal force

Centrifugal force

Resistance

None of the above

Cream gets separated out of milk when it is churned, it is due to

Gravitational force

Centripetal force

Centrifugal force

Frictional force

A particle of mass m is executing uniform circular motion on a path of radius r. If p is the magnitude of its linear momentum. The radial force acting on the particle is

pmr

rm/p

mp²/r

p²/rm

A particle moves in a circular orbit under the action of a central attractive force inversely proportional to the distance 'r' . The speed of the particle is

Proportional to r²

Independent of r

Proportional to r

Proportional to 1/r

A boy on a cycle pedals around a circle of 20 metres radius at a speed of 20 meters/secs The combined mass of the boy and the cycle is 90 kg. The angle that the cycle makes with the vertical so that it may not fall is (g=9.8m/s²)

60.25º

63.90º

26.12º

30.00º

The average acceleration vector for a particle having a uniform circular motion is

A constant vector of magnitude v²/r

A vector of magnitude v²/r directed normal to the plane of the given uniform circular motion

Equal to the instantaneous acceleration vector at the start of the motion

A null vector

Radius of the curved road on national highway is R . Width of the road is b. The outer edge of the road is raised by h with respect to inner edge so that a car with velocity v can pass safe over it. The value of h is

v²b/Rg

v/Rgb

v²R/g

v²b/R

When a particle moves in a uniform circular motion. It has

Radial velocity and radial acceleration

Tangential velocity and radial acceleration

Tangential velocity and tangential acceleration

Radial velocity and tangential acceleration

A motorcycle is going on an overbridge of radius R . The driver maintains a constant speed. As the motorcycle is ascending on the overbridge, the normal force on it

Increases

Decreases

Remains the same

Fluctuates

A mass of 2 kg is whirled in a horizontal circle by means of a string at an initial speed of 5 revolutions per minute. Keeping the radius constant the tension in the string is doubled. The new speed is nearly

14rpm

10rpm

2.25rpm

7rpm

The magnitude of the centripetal force acting on a body of mass m executing uniform motion in a circle of radius r with speed v is

mvr

mv²/r

v/r²m

v/rm

A string breaks if its tension exceeds 10 newtons. A stone of mass 250 gm tied to this string of length 10 cm is rotated in a horizontal circle. The maximum angular velocity of rotation can be

20 rad/s

40 rad/s

100 rad/s

200 rad/s

A 500 kg car takes a round turn of radius 50 m with a velocity of 36 km/hr. The centripetal force is

250 N

750 N

1000 N

1200 N

A ball of mass 0.25 kg attached to the end of a string of length 1.96 m is moving in a horizontal circle. The string will break if the tension is more than 25 N. What is the maximum speed with which the ball can be moved

14 m/s

3 m/s

3.92 m/s

5 m/s

A body of mass 5 kg is moving in a circle of radius with an angular velocity of 2 radian/sec. The centripetal force is

10 N

20 N

30 N

40 N

If a particle of mass m is moving in a horizontal circle of radius r with a centripetal force (-k/r²) , the total energy is

-k/2r

-k/r

-2k/r

-4k/r

A stone of mass of 16 kg is attached to a string 144 m long and is whirled in a horizontal circle. The maximum tension the string can withstand is 16 Newton. The maximum velocity of revolution that can be given to the stone without breaking it, will be

20m/s¯¹

16m/s¯¹

14m/s¯¹

12m/s¯¹

A circular road of radius 1000 m has banking angle 45º. The maximum safe speed of a car having mass 2000 kg will be, if the coefficient of friction between tyre and road is 0.5

172 m/s

124 m/s

99 m/s

86 m/s

The second's hand of a watch has length 6 cm. Speed of end point and magnitude of difference of velocities at two perpendicular positions will be

6.28 and 0 mm/s

8.88 and 4.44 mm/s

8.88 and 6.28 mm/s

6.28 and 8.88 mm/s

A body is whirled in a horizontal circle of radius 20 cm. It has angular velocity of 10 rad/s. What is its linear velocity at any point on circular path

10 m/s

2 m/s

20 m/s

√2m/s

Find the maximum velocity for skidding for a car moved on a circular track of radius 100 m. The coefficient of friction between the road and tyre is 0.2

0.14 m/s

140 m/s

1.4 km/s

14 m/s

Part 2-Motion in a plane easy

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