NLM

968 Questions Start Allen Test
KCET 2003; UPSEAT 2004 Q276 Errorless Equilibrium of Forces MCQ
Which of the following groups of forces could be in equilibrium
A.
3 N, 4 N, 5 N
B.
4 N, 5 N, 10 N
C.
30 N, 40 N, 80 N
D.
1 N, 3 N, 5 N
AIEEE 2003 Q277 Errorless Equilibrium of Forces MCQ
Three forces starts acting simultaneously on a particle moving with velocity $\vec{v}$ . These forces are represented in magnitude and direction by the three sides of a triangle ABC (as shown). The particle will now move with velocity
A.
$\vec{v}$ remaining unchanged
B.
Less than $\vec{v}$
C.
Greater than $\vec{v}$
D.
$\vec{v}$ in the direction of the largest force $BC$
AIEEE 2003; Odisha JEE 2003; WB-JEE 2010 Q278 Errorless Static and Limiting Friction MCQ
A boy of mass 40 kg is climbing a vertical pole at a constant speed. If the coefficient of friction between his palms and the pole is 0.8 and $g = 10m/s^{2}$ , the horizontal force that he is applying on the pole is
A.
300 N
B.
400 N
C.
500 N
D.
600 N
AIEEE 2003 Q279 Errorless Kinetic Friction MCQ
A marble block of mass 2 kg lying on ice when given a velocity of 6 m/s is stopped by friction in 10s. Then the coefficient of friction is
A.
0.01
B.
0.02
C.
0.03
D.
0.06
BVP 2003; IIT-JEE 2008 Q280 Errorless Kinetic Friction MCQ
It is easier to roll a barrel than pull it along the road. This statement is
A.
False
B.
True
C.
Uncertain
D.
Not possible
IIT-JEE 2003 Q281 Advance ARCHIVE: JEE ADVANCED MCQ
The maximum value of the force F such that the block shown in the arrangement, does not move is
A.
$20\mathrm{N}$
B.
$10\mathrm{N}$
C.
$12\mathrm{N}$
D.
$15\mathrm{N}$
AIEEE 2002 Q282 Errorless Critical Thinking MCQ
When forces $F_{1}, F_{2}, F_{3}$ are acting on a particle of mass $m$ such that $F_{2}$ and $F_{3}$ are mutually perpendicular, then the particle remains stationary. If the force $F_{1}$ is now removed then the acceleration of the particle is
A.
$F_{1} / m$
B.
$F_{2}F_{3} / mF_{1}$
C.
$(F_{2} - F_{3}) / m$
D.
$F_{2} / m$
AIIMS 2002; BHU 2004 Q283 Errorless Static and Limiting Friction MCQ
If a ladder weighing 250 N is placed against a smooth vertical wall having coefficient of friction between it and floor is 0.3, then what is the maximum force of friction available at the point of contact between the ladder and the floor
A.
75 N
B.
50 N
C.
35 N
D.
25 N
JIPMER 2002; MP PET 2010 Q284 Errorless Motion on Inclined Surface MCQ
A coin of mass 10g is placed over a book of length 50 cm. The coin is on the verge of sliding when one end of the book is lifted 10 cm up. The coefficient of static friction between the book and the coin is
A.
1.0
B.
0.4
C.
0.3
D.
0.2
DPMT 2001; Pb. PMT 2002; MP PMT 2004; Odisha JEE 2005 Q285 Errorless Conservation of Linear Momentum and Impulse MCQ
A diwali rocket is ejecting 0.05 kg of gases per second at a velocity of 400 m/sec. The accelerating force on the rocket is
A.
20 dynes
B.
20 N
C.
22 dynes
D.
1000 N
AIIMS 2001; Odisha JEE 2002; AMU (Engg.) 2012 Q286 Errorless Conservation of Linear Momentum and Impulse MCQ
A gun fires a bullet of mass 50 g with a velocity of 30msec $^{-1}$ . Because of this the gun is pushed back with a velocity of 1msec $^{-1}$ . The mass of the gun is
A.
15 kg
B.
30 kg
C.
1.5 kg
D.
20 kg
IIT-JEE 2001 Q287 Errorless Critical Thinking MCQ
A string of negligible mass going over a clamped pulley of mass $m$ supports a block of mass $M$ as shown in the figure. The force on the pulley by the clamp is given by
A.
$\sqrt{2} Mg$
B.
$\sqrt{2} mg$
C.
$\sqrt{(M + m)^2 + m^2} g$
D.
$\sqrt{(M + m)^2 + M^2} g$
CBSE PMT 2001; MP PMT 2009 Q288 Errorless Kinetic Friction MCQ
A vehicle of mass m is moving on a rough horizontal road with momentum P. If the coefficient of friction between the tyres and the road be $\mu$ , then the stopping distance is
A.
$\frac{P}{2\mu mg}$
B.
$\frac{P^{2}}{2\mu mg}$
C.
$\frac{P}{2\mu m^{2}g}$
D.
$\frac{P^{2}}{2\mu m^{2}g}$
IIT-JEE 2001 Q289 Errorless Critical Thinking-friction MCQ
An insect crawls up a hemispherical surface very slowly (see the figure). The coefficient of friction between the insect and the surface is 1/3. If the line joining the centre of the hemispherical surface to the insect makes an angle $\alpha$ with the vertical, the maximum possible value of $\alpha$ is given by
A.
$\cot \alpha = 3$
B.
$\tan \alpha = 3$
C.
$\sec \alpha = 3$
D.
$\operatorname{cosec} \alpha = 3$
IIT-JEE 2001 Q290 Advance ARCHIVE: JEE ADVANCED MCQ
The pulleys and strings shown in the figure are smooth and of negligible mass. For the system to remain in equilibrium, the angle $\theta$ should be
A.
$0^{\circ}$
B.
$30^{\circ}$
C.
$45^{\circ}$
D.
$60^{\circ}$
IIT-JEE 2001 Q291 Advance ARCHIVE: JEE ADVANCED MCQ
A string of negligible mass going over a clamped pulley of mass m supports a block of mass M as shown in the figure. The force on the pulley by the clamp is given by
A.
$\sqrt{2}Mg$
B.
$\sqrt{2}mg$
C.
$\sqrt{(M + m)^2 + m^2} g$
D.
$\sqrt{(M+m)^{2}+M^{2}}g$
IIT-JEE 2001 Q292 Advance ARCHIVE: JEE ADVANCED MCQ
An insect crawls up a hemispherical surface very slowly as shown in figure. The coefficient of friction between the surface and the insect is $\frac{1}{3}$ . If the line joining the centre of the hemispherical surface to the insect makes an angle $\alpha$ with the vertical, the maximum possible value of $\alpha$ is given by
A.
$\cot \alpha = 3$
B.
$\tan \alpha = 3$
C.
$\sec \alpha = 3$
D.
$\csc \alpha = 3$
IIT-JEE 2001 Q293 Advance ARCHIVE: JEE ADVANCED MCQ
A small block is shot into each of the four tracks as shown in the figure. Each of the tracks rises to the same height. The speed with which the block enters the track is the same in all cases. At the highest point of the track, the normal reaction is maximum in
A.
B.
C.
D.
2000 Q294 Allen Friction MCQ
A truck carries a 2 Ton block on a level horizontal road. The coefficient of static and kinetic frictions between the stone-block and truck-bed are 0.4 and 0.2 respectively. When the truck accelerates at $2m/s^{2}$ , how much friction acts between the stone-block and the truck-bed? $[g = 10\ m/s^{2}]$
A.
2000 N
B.
4000 N
C.
8000 N
D.
$10000N$
CBSE PMT 2000; Odisha JEE 2002; AIEEE 2004; Kerala PET 2005 Q295 Errorless Motion of Connected Bodies MCQ
Two masses of 5kg and 10kg are connected to a pulley as shown. What will be the acceleration of the system (g = acceleration due to gravity)
A.
g
B.
$\frac{g}{2}$
C.
$\frac{g}{3}$
D.
$\frac{g}{4}$
AMU (Engg.) 2000; Kerala PET 2010 Q296 Errorless Motion of Connected Bodies MCQ
Two blocks are connected by a string as shown in the diagram. The upper block is hung by another string. A force $F$ applied on the upper string produces an acceleration of $2m / s^2$ in the upward direction in both the blocks. If $T$ and $T'$ be the tensions in the two parts of the string, then $(g = 9.8\ m / s^2)$
A.
$T = 70.8N$ and $T' = 47.2N$
B.
$T = 58.8N$ and $T' = 47.2N$
C.
$T = 70.8N$ and $T' = 58.8N$
D.
$T = 70.8N$ and $T' = 0$
MP PET 2000; J & K CET 2006; Odisha JEE 2009 Q297 Errorless Static and Limiting Friction MCQ
A block of mass $2\mathrm{kg}$ is kept on the floor. The coefficient of static friction is 0.4. If a force $F$ of 2.5 Newtons is applied on the block as shown in the figure, the frictional force between the block and the floor will be
A.
2.5 N
B.
5 N
C.
7.84 N
D.
10 N
Pb. PMT 2000; NEET 2013 Q298 Errorless Motion on Inclined Surface MCQ
The upper half of an inclined plane of inclination $\theta$ is perfectly smooth while the lower half is rough. A body starting from the rest at top comes back to rest at the bottom if the coefficient of friction for the lower half is given by
A.
$\mu = \sin \theta$
B.
$\mu = \cot \theta$
C.
$\mu = 2\cos \theta$
D.
$\mu = 2\tan \theta$
2000 Q299 Advance MULTIPLE CORRECT CHOICE TYPE QUESTIONS MSQ
An engine of mass $5 \times 10^{4}$ kg pulls a coach of mass $4 \times 10^{4}$ kg. A resistance of 1 N per 100 kg is acting on both the coach and the engine and if the driving force of the engine is 4500 N then
A.
the acceleration of the system (coach + engine) is $0.04 \, ms^{-2}$ .
B.
the acceleration of the system (coach + engine) is $0.05 \, ms^{-2}$ .
C.
the tension in the coupling is 2000 N.
D.
the tension in the coupling is 2400 N.
2000, 2M Q300 Advance ARCHIVE: JEE ADVANCED MCQ
A long horizontal rod has a bead which can slide along its length and is initially placed at a distance $L$ from one end $A$ of the rod. The rod is set in angular motion about $A$ with a constant angular acceleration $\alpha$ . If the coefficient of friction between the rod and the bead is $\mu$ , and gravity is neglected, then the time after which the bead starts slipping is
A.
$\sqrt{\frac{\mu}{\alpha}}$
B.
$\frac{\mu}{\sqrt{\alpha}}$
C.
$\frac{1}{\sqrt{\mu\alpha}}$
D.
infinitesimal