Question 1 :
Three coplanar forces keep a body in equilibrium. The angles between adjacent forces are in the ratio of $3:4:5$. The ratio of maximum force to the minimum force is
Question 2 :
Which of the following statements for a rigid object undergoing pure translational motion are<b> </b>false?<br/>
Question 3 :
A small mass slides down an inclined plane of inclination $\theta$ with the horizontal. The co-efficient of friction is $\mu\, =\, \mu\, x$ where x is the distance through which the mass slides down and $\mu$ a constant. Then the speed is maximum after the masscovers a distance of:
Question 4 :
A boy is sitting on a horizontal platform in the shape of a disc at a distance of $5m$ from its center. The boy begins to slip when the speed of wheel exceeds $10rpm$. The coefficient of friction between the boy and platform is ($g=10{ms}^{-2}$)
Question 5 :
A rod of length $l$ and mass $m$ fixed at one end, it hanging vertically. The other end is now raised so that the rod makes an angle ${30}^{o}$ with horizontal line. The work done in this process will be:
Question 6 :
A block of mass 15 kg is placed on a long trolley The coefficient of friction between the block and trolley is 0. 18 The trolley accelerates with 0.5 m/$s ^ { 2 }$ for 20 s then what is the friction force
Question 7 :
A skater of mass m standing on ice throws a stone of mass M with a velocity of V in a horizontal direction. The distance over which the skater will move back (the coefficient of friction between the skater and the ice is $\mu$) :<br>
Question 8 :
A particle of mass 0.1 kg moving with an initial speed v collides with another particle of same mass kept at rest. If after collision the total energy becomes 0.2 J, then:
Question 9 :
A $4g$ bullet is fired horizontally with a speed of $300 m/s$ into $0.8 kg$ block of wood, which is at rest on a table. If the coefficient of friction between the block and the table is $0.3$, how far will the block slide approximately?
Question 10 :
Given that $k = \dfrac{2g}{m}$, find the mass of the raindrop at $t = 3$s :
Question 11 :
A block of mass $2\ kg$ rests on a rough inclined plane making an angle of ${30}^{o}$ with the horizontal. The coefficient of static friction between the block and the plane is $0.7$. The frictional force on the block is
Question 12 :
A car is travelling along a circular curve that has a radius of 50 m. If its speed is 16 m/s and is increasing uniformly at $\displaystyle 8 m/s^{2},$ determine the magnitude of its acceleration at this instant.
Question 13 :
Approximate distance travelled by the block when it comes to rest for a second time (not including the initial one) will be (Take $\sqrt {45}=6.70)$
Question 14 :
Assertion: A cloth covers a table. Some dishes are kept on it. The cloth can be pulled out without dislodging the dishes from the table.
Reason: For every action there is an equal and opposite reaction.
Question 15 :
A ball of mass $50\ g$ strikes on the wall with speed $50\ ms^{-1}$ perpendicular o wall and rebounds with same speed. Impulse imparted to the wall during by the impact is
Question 16 :
A cricket ball of mass $0.25 kg$ with speed $10 m/s$ collides with a bat and returns with same speed within $0.01s$. The force acted on bat is (in $N$):
Question 17 :
A body is in equilibrium under the influence of a number of forces. Each force has a different line of action. The minimum number of forces required is :
Question 18 :
You normally note the speed limits mentioned on highways (on straight roads without turns). Why? <br>
Question 19 :
What is the actual frictional force when the man has climbed $1.0$ m along the ladder?
Question 20 :
A body of mass $m=10^{-2}\ kg$ is moving in medium and experiences a frictional force $F=-kv^2$. Its initial speed is $v_0=10\ ms^{-1}$. If, after $10\, s$, its energy is $\dfrac{1}{8}mv_0^2$, the value of $k$ will be :
Question 21 :
A block of mass $m$ slides down a plane inclined at an angle $\theta $ . Which of the following will NOT increase the energy lost by the block due to friction?
Question 22 :
A body of  weight 20 N is on a horizontal surface, minimum force applied to pull it when applied force makes an angle $60^0$ with horizontal (angle of friction a = $30^0$) is:
Question 23 :
A weightless thread can bear tension upto $37 N$. A stone of mass $500 g$ is tied to it and revolved in a circular path of radius $4 m$ in a vertical plane. If $g=10 {ms}^{-2}$, then the maximum angular velocity of the stone will be:
Question 24 :
Assertion: STATEMENT-1 : If the mass of the colliding particles remains constant, then the linear velocity of the individual particles change during collision along common normal direction.
Reason: STATEMENT-2 : A pair of equal and opposite impulses act along common normal direction.
Question 25 :
A car moves on a horizontal track of radius $r$, the speed increasing constantly at rate $ \dfrac { dv }{ dt }  $ <br> $ = a$. The coefficient of friction between road and tyre is $ \mu $. Find the speed at which the car will skid. <br/>
Question 26 :
A block of $1\ kg$ is stopped against a wall by applying a force $F$ perpendicular to the wall. If $\mu=0.2$ then minimum value of $F$ will be :
Question 27 :
A stone of mass $1\ kg$ tied to a light inextensible string of length $L = \dfrac{10}{3}\ m$, whirling in a circular path in a vertical plane. The ratio of maximum tension in the string to the minimum tension in the string is $4$. If g is taken to be $10\ m/s^2$ the speed of the stone at the highest point of the circle is
