23337.A tube of length L is filled completely with an incompressible liquid of mass M and closed at both the ends. The tube is then rotated in a horizontal plane about one of its ends with a uniform angular velocity ω. The force exerted by the liquid at the outer end is
$\dfrac{ML\omega^2}{2}$
MLω2
$\dfrac{ML^2\omega^2}{2}$
$\dfrac{ML\omega^2}{4}$
23338.A weightless thread can bear tension upto 3.7 kg weight. A stone of mass 500 gram is tied at its one end and revolved in a vertical circular path of radius 4 m. If g = 10 m/s2, then the maximum angular velocity of the stone is (radians/sec) will be
3
4
5
6
23339.A wheel is subjected to uniform angular acceleration about its axis. Initially its angular velocity is zero. In the first two seconds, it rotates through θ1 and in next two seconds, it rotates through θ2. What is the ratio θ2 / θ1?
1
2
3
4
23340.What is the smallest radius of a curve on a horizontal road, at which a cyclist can travel if his speed is 36 km/hour and the angle of inclination is 45°? (g = 10 m/s2)
25 m
20 m
15 m
10 m
23341.A car moving on a horizontal road may be thrown out of the road is taking a turn
by the gravitational force
due to the lack of proper centripetal force
due to the lack of frictional force between the tire and the road
due to the reaction of the ground
23342.A wheel rotates with a constant angular velocity of 600 r.p.m. What is the angle through which the wheel rotates in one second?
5$π$ radian
20$π$ radian
15$π$ radian
10$π$ radian
23343.An aeroplane is taking a turn in a horizontal plane
its remains horizontal
it inclines inward
it inclines outward
its wings becomes vertical
23344.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., then the acceleration of a point on the tip of the blade is (take $π$2 = 10)
1600 m/s2
3200 m/s2
4800 m/s2
6000 m/s2
23345.Maximum safe speed does not depend upon
radius of curvature
angle of inclination with the horizontal
mass of the vehicle
acceleration due to gravity
23347.Angular velocity of an hour hand of a watch
$\dfrac{\pi}{43200}$ rad/s
$\dfrac{\pi}{21600}$ rad/s
$\dfrac{\pi}{30}$ rad/s
$\dfrac{\pi}{1800}$ rad/s
23348.The angle described in 2 sec by an object rotating at a rate of 600 rpm is
20 $π$ rad
40 $π$ rad
5 $π$ rad
zero
23349.At a curved path of the road, the road bed is raised a little on the side away from the centre of the curved path. The slope of the road bed is given by
tan q = $\left(\dfrac{r}{gv^2}\right)$
tan q = $\left(\dfrac{rg}{v^2}\right)$
tan q = $\left(\dfrac{v^2g}{r}\right)$
tan q = $\left(\dfrac{v^2}{rg}\right)$
23350.The banking angle is independent of
velocity of vehicle
mass of vehicle
radius of curvature of road
height of inclination
23351.A body is moving along a circular path with variable speed. It has
a radial acceleration
a tangential acceleration
zero acceleration
both tangential and radial accelerations
23352.Centripetal force in vector form can be expressed as
$\overrightarrow{F} = \dfrac{mv^2}{r}$
$\overrightarrow{F} = \dfrac{mv^2}{r}\overrightarrow{r}$
$\overrightarrow{F} = mv^2\overrightarrow{r}$
$\overrightarrow{F} = –\dfrac{mv^2}{\overrightarrow{r}}\overrightarrow{r}$
23353.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, then, the radial force acting on the particle is,
pmr
$\dfrac{rm}{p}$
$\dfrac{mp^2}{r}$
$\dfrac{p^2}{rm}$
23354.A wheel of diameter 20 cm is rotating at 600 rpm. The linear velocity of particle at its rim is
6.28 cm/s
62.8 cm/s
0.628 cm/s
628.4 cm/s
Explanation:
Radius = 10 cm = 0.1 metre
Angular velocity = 600 revolution per minute = 600*2π/60
radian/second = 20π rad / sec
Linear velocity of the point at rim = Radius*Angular velocity = 0.1*20π = 2π metres/second
= 6.28 m/s
23355.For a particle performing a U.C.M. the acceleration is
constant in direction
constant in magnitude but not in direction
constant in magnitude and direction
constant in neither magnitude nor in direction
23356.The maximum safe speed for a vehicle taking a turn on a curved banked road, does not depend upon
acceleration due to gravity
mass of the vehicle
angle of inclination (θ) with the horizontal
radius of curvature of the track