Inclined Planes

Q. 12.A triangular block of mass M rests on a smooth surface as shown in the figure. A cubical block of mass m rests on the inclined surface. If all surfaces are frictionless, the force that must be applied to M so as to keep m stationary relative to M is : (a) Mg tan 30^° (b) mg tan 30^° (c) (M+m)g tan 30^° (d) (M+m)g cos 30^°

Q. Rain is falling vertically with a speed of 35m/s .A women rides a bicycle with a speed of 12m/s in east to west direction .in which direction should she hold umbrella?

Q. a block of mass m placed on an inclined plane of angle of inclination theta slides down the plane with constant speed. the coefficient of kinetic friction between block and inclined plane is a) sin theta b) cos theta c) tan theta d) cot theta

Q. rain is falling vertically downward with speed 4m/s.Man start running with speed 3m/s towards north. wind is blowing with speed 5m/s from north to south. find the directionman should hold his umbrella

Q. 59.Consider a boy on a trolly who throws a ball with speed 20m/s ay an angle 37 degree with respect to trolly in direction of motion of trolly which moves horizontally worth speed 10m/s then what will be maximum distance travelled by ball parallel to road

Q. 14.A particle executes SHM with a time period of 16 sec.At time t=2 sec, the particle crosses the mean position, while at t=4 sec , its velocity is 4 m/sec.The amplitude of motion in metres is

Q. A block is kept on an inclined plane of inclination 0 of length I. The velocity of the particle at the bottom of inclined is (The coefficient of friction is H): Options: /2gl(ucos-sine) 2g(sine- μ cosθ ) 2g(sin6+ μ ε osθ ) y2g!(cose+ usine)

Q. Rain is falling at 5m/s making 30 degree with vertical towatrds east. to a man walking at 3m/s on a horizontal road towards east, the rain appears striking at a speed of? a) 2m/s b) 4m/s c)\surd19m/s d)\surd21m/s

Q.

Force F is gradually increased from zero. Determine whether the block will first slide or lift up?

1. slide

2. won't move

3. data insufficient

4. lift

Q. Block $A$ of mass $m$ placed on a smooth inclined plane is connected by a string to another block $B$ of mass $M$ as shown in the figure. If the system is in equilibrium , express $M$ in terms of $m$

1. $m\sin \theta$
2. $m\cos \theta$
3. $2m\sin \theta$
4. $2m\cos \theta$

Q. A grasshopper can jump a maximum horizontal dis†an ce of 40cm. if it spends negligible time on ground then in this case its speed along the horizontal road will be

Q. 10.A metre stick is placed vertically at the origin on a friction less surface. A gentle push in +x direction is given to the top most point of the rod, when it has fallen completely x coordinate of centre of rod is at 1)origin 2)-0.5 m 3) -1 m, 4)+0.5m

Q. the speed of man w.r.t river is 5k/h and speed of river is 3k/h. at what angle to the river flow should be head if he wants to reach a directly opposite to starting point

Q. 7. Rain is falling vertically with a speed of 35 m/s. A women rides a bicycle with a speed of 12 m/s in east to west direction. In which direction should she hold her umbrella?

Q. a block of mass m is placed on the top of bigger wedge M .All the surfaces are frictionless .the system is released from rest.Find the dis†an ce moved by smaller block w.r.t to triangular wedge when bugger wedge travels dis†an ce X on plane surface.Angle of inclination of the bigger wedge is 30^°

Q. 3. A ball of mass m hits a floor with a speed Vmaking an angle a with the normal N. Thecoefficient of restitution is e. The angle made byreflected ball with floor isN02ITTTTTITIT(2) tan 1(ecoto(1) cot" (ecot atan c(3) tan(4) Cottanonxis variesS 2

Q.

A block is kept on a frictionless inclined surface with angle of inclination $\alpha$. The incline is given an acceleration $\alpha$ to keep the block stationary. Then $\alpha$ is equal to

1. g

2. g tan

3. g cosec

4. 

Q. a child is sitting on a swing its minimum and maximum heights from the ground are 0.75 m and 2 m respectively its maximum speed will be

Q. What is the difference between the symbol for speed and the symbol for velocity?

Q. 4. A block of mass m, is kept on a wedge of mass Mas shown in figure such that mass m remainsstationary w.r.t. wedge. The magnitude of force P is(1) g tan B(3) (m + Mg tan B (4) mg cot B(2) mg tan β

Q. Find the acceleration of the moon with respect to the earth from the following data : Distance between the earth and the moon = 3.85 × 10⁵ km and the time taken by the moon to complete one revolution around the earth = 27.3 days.

Q. An aircraft is flying at a height of 3400 m above the ground. If the angle subtended at a ground observation point by the aircraft positions 10.0 s apart is ${30}^o$, what is the speed of the aircraft ?

Q. A block of mass $m_1$ lies on the top of fixed wedge as shown in Fig (a) and another block of same mass $m_1$ lies on top of wedge which is free to move as shown in Fig (b) . At time $t=0$ , both the blocks are released from rest from a vertical height $h$ above the respective horizontal surfaces on which the wedge is placed as shown. There is no friction between block and wedge in both the figures. Let $T_1$ and $T_2$ be the time taken by the blocks, respectively, to just reach the horizontal surface. Then

1. $T_1>T_2$
2. $T_1<T_2$
3. $T_1=T_2$
4. Data insufficient

Q. The accelerations of a particle as seen from two frames S₁ and S₂ have equal magnitude 4 m/s².
(a) The frames must be at rest with respect to each other.
(b) The frames may be moving with respect to each other.
(c) The acceleration of S₂ with respect to S₁ may either be zero of 8 m/s².
(d) The acceleration of S₂ with respect to S₁ may be anything between zero and 8 m/s².

Q. Figure shows a wedge of mass $2\text{kg}$ resting on a frictionless floor. A block of mass $1\text{kg}$ is kept on the frictionless wedge and the wedge is given an acceleration of $5{\text{m/s}}^2$ towards right. Then select the correct statement. (Assume $g=10m/s^2$)

1. the block will remain stationary w.r.t wedge
2. the block will have an acceleration of $1{\text{m/s}}^2$ w.r.t wedge
3. the normal reaction on the block is $11\text{N}$
4. None of the above

Q. A train moving with a constant speed of 25 m/scrosses a platform of length 100 m in 10 s. Thelength of train is

Q. The acceleration of the block will be .

1. $gcos\theta$
2. $gsin\theta$
3. $gtan\theta$
4. g

Q. Rain is falling vertically downward in a region with speed 4 metre per second.A boy walking on ground with speed 3m/s observes the rain .The speed of rain wet the boy is.

Q. In the figure shown, find the velocity acquired by the block on reaching the ground and the force exerted by the inclined plane on the block if takes 5 seconds for the block to reach the ground. Assume all surfaces to be smooth. (Take $g=10m/s^2)$

1. $10m/s,10\sqrt{3}N$
2. $20m/s,10N$
3. $25m/s,20N$
4. $25m/s,10\sqrt{3}N$

Q. Two blocks $A$ and $B$ of masses $m_A=1kg$ and $m_B=2kg$ are placed in contact on a frictionless plane of inclination ${30}^{\circ }$. Find the magnitude of contact force between the two blocks when an external force is applied on the blocks as shown in the figure.

1. $2N$
2. $6N$
3. $12N$
4. $10N$