Title 01B. NEWTON LAWS OF MOTION ( 15 - 30 ).pdf ✅

NISHITH Multimedia India (Pvt.) Ltd., 1 5 JEE - ADVANCED - VOL - II CURRENT ELECTRICITY NISHITH Multimedia India (Pvt.) Ltd., NEWTON LAWS OF MOTION LEVEL – VI SINGLE ANSWER QUESTIONS 1. A particle of mass m is suspended from a fixed point O by a string of length l . It is displaced from its equilibrium position and then released at t  0 . The graph which shows the variation of the tension T in the string with time t is : O A) T O t B) T O t C) T O t D) T O t 2. In the figure the heavy mass m moves down the smooth surface of a wedge making an angle  with the horizontal. The wedgeat rest t  0 is on a smooth surface. The mass of the wedge is M. The direction of motion of the mass m makes an angle  with the horizontal, then ' ' Tan is A) tan m M  B) ta n M m  C) 1 t a n m M         D) 1 tan M m         3. A weightless inextensible rope rests on a stationary wedge forming an angle  with a horizontal. One end of the rope is fixed to the wall at point A. A small load is attached to the rope at point B. The wedge starts moving to the right with a constant acceleration a. The acceleration of the load is given by : A) a B) 2a   2 sin  C) a sin  D)   2 sin  4. The system shown in the figure is released from rest. (Neglecting friction and mass of the pulley, string and spring) The spring can be elongated A) If M > m B) If M > 2m C) If M > 2 m D) For any value of M (M should be grater than zero) 5. Block A and C start from rest and move to the right with acceleration 2 A a 12t m/s  and 2 C a 3m / s .  Here t is in seconds. The time when block B attain comes to rest is A B C (A) 2 s (B) 1 s (C) 3/2 s (D) 1/2 s
Jr Chemistry E/M NEWTON LAWS OF MOTION 1 6 NISHITH Multimedia India (Pvt.) Ltd., JEE - ADVANCED - VOL - II NISHITH Multimedia India (Pvt.) Ltd., 6. In the arrangement shown in fig. m 1kg 1  , m 2kg 2  . Pulleys are massless and string are light. For what value of M the mass m1 moves with constant velocity (neglect friction) M B B 1 2 m2 m1 (A) 6 kg (B) 4 kg (C) 8 kg (D) 10 kg 7. Assuming the gravity to be in negative z- direction, a force F v A      is exerted on a particle in addition to the force of gravity where v  is the velocity of the particle and A  is a constant vector in positive x-direction. With what minimum speed a particle of mass m be projected so that it continues to move undeflected with constant velocity (A) A ˆ j mg  (B) A ˆ j mg (C) mg ˆ j A (D) mg ˆ j A  8. In the figure , the wedge is pushed with an acceleration of 2 10 3 / . m s It is seen that the block starts climbing upon the smooth inclined face of wedge. What will be the time taken by the block to reach the top? m 1 m 30° a = 10 3 m/s2 (A) 2 5 s (B) 1 5 s (C) 5s (D) 5 2 s MULTIPLE ANSWER QUESTIONS 9. A book leans against a crate on a table. Nei- ther is moving. Which of the following state- ments concerning this situation is/are incor- rect ? Crate Book A) The force of the book on the crate is lessthan that of crate on the book B) Although there is no friction acting on the crate, there must be friction acting on the book or else it will fall C) The net force acting on the book is zero D) The direction of the frictional force acting on the book is in the same direction as the frictional acting on the crate. 10. An iron sphere weighing 10 N rests in a V shaped smooth trough whose sides form an angle of 0 60 as shown in the figure. Then the reaction forces are : 0 60 B A (i) A B 0 60 0 60 ii iii A B 0 60 A) 10 0 R Nand R A B   in case ( i ) B) 3 10 10 R N and R N in case A   (ii ) C) 20 10 3 3 R N and R N A B   in case ( iii ) D) 10 10 R N and R N A B   in all the 3 cases 11. In the system shown in the figure 1 2 m m , System is held at rest by thread BC. Just after the thread BC is burnt A B C m1 spring k m2 A) initial acceleration of m2 will be upwards B) magnitude of initial acceleration of both blocks will be equal to 1 2 1 2 m m g m m         C) initial acceleration of m1 will be equal to zero D) magnitude of initial acceleration of two blocks will be non-zero and unequal.
NISHITH Multimedia India (Pvt.) Ltd., 1 7 JEE - ADVANCED - VOL - II CURRENT ELECTRICITY NISHITH Multimedia India (Pvt.) Ltd., NEWTON LAWS OF MOTION 12. Two blocks of masses m1 and m­2 (m1 > m2 ) are connected by a massless threads, that passes over a massless smooth pulley. The pulley is suspended from the ceiling of an elevator. Now the elevator moves up with uniform velocity V0 . Now, select the correct options. A) Magnitude of acceleration of m1 with respect to ground is greater than  1 2  1 2 m m g m m   B) Magnitude of acceleration of m1 with respect to ground is qual to  1 2  1 2 m m g m m   C) Tension in the thread that connects m1 and m2 is equal to 1 2 1 2 2m m g m m D) Tension in the thread that connects m1 and m2 is greater than 1 2 1 2 2m m g m m 13. A horizontal bar of mass m1 and Prism of mass m2 can move as shown. There is no friction at any contact point. During the motion, the length of the rod is always horizontal. Now, magnitude values of A) Acceleration of m1 is   2 g / 1 cot   , where 2 1   m m/ B) Acceleration of m1 is 2 tan 1 tan g         , where 2 1   m m/ C) Acceleration of m2 is g / tan cot      , where 2 1   m m/ D) Acceleration of m2 is 2 2 tan 1 tan g         , where 2 1   m m/ PASSAGE TYPE QUESTION PASSAGE : I A shot putter with a mass of 80 kg pushes the iron ball of mass of 6 kg from a standing position accelerating it uniformly form rest at an angle of 0 45 with the horizontal during a time interval of 0.1 seconds. The ball leaves his hand when it is 2m high above the level ground and hits the ground 2 seconds later.   2 g m s 10 / 14. The accleration of the ball in shot putter’s hand: A) 2 11 2 / m s B) 2 100 2 / m s C) 2 90 2 / m s D) 2 9 2 / m s 15. The horizontal distance between the point of release and the point where the ball hits the ground: A) 16 m B) 18 m C) 20 m D) 22m 16. The minimum value of the static coefficient of friction if the shot putter does not slip during the shot is closest to : A) 0.28 B) 0.40 C) 0.48 D) 0.58 PASSAGE : II FIXED m2 m1  Two blocks m1 and m2 are allowed to move without friction. Block m1 is on block m­2 and m2 slides on smooth fixed incline as shown. The angle of inclination of inclined plane is .
Jr Chemistry E/M NEWTON LAWS OF MOTION 1 8 NISHITH Multimedia India (Pvt.) Ltd., JEE - ADVANCED - VOL - II NISHITH Multimedia India (Pvt.) Ltd., 17. The acceleration of m1 with respect to ground is A)   2 1 2 2 2 1 sin sin m m g m m     B)   2 1 2 2 1 2 sin sin m m g m m     C)   2 1 2 2 2 1 sin sin m m g m m     D)   2 1 2 2 1 2 sin sin m m g m m     18. The acceleration of m2 with respect to ground is A)   2 1 2 2 2 1 sin sin m m g m m     B)  1 2  2 1 2 sin sin m m g m m     C)   2 1 2 2 2 1 sin sin m m g m m     D)   2 1 2 2 1 2 sin sin m m g m m     19. Normal reaction on m1 ­ is: A) m g1 B)m m g 1 2   C) 2 1 2 2 2 1 cos sin m m g m m    D)   2 1 1 2 2 1 2 1 sin sin m g m m m m          MATRIX MATCHING QUESTIONS 20. Two blocks of masses m1 =5kg and m2 = 2kg are connected by threads which pass over the pulleys as shown in the figure. The threads are mass less and the pulleys are mass less and smooth. The blocks can move only along the vertical direction. T1 and T2 are the tensions in the string as shown. Now match the following: [take g = 10m/s2 ] 21. In the diagram shown, match the following (g = 10m/s2 ) 3kg 2kg 1kg F2=18N F1=60N 0 30 Smooth Blocks are on smooth incline. F­1 and F2 are parallel to the inclined plane. The motion of the blocks is along the incline the surface. Column I Column II SI UNITS A) Acceleration of 2kg block (p)39 B) Net force on 3kg block (q)25 C) Normal reaction between 2kg and 1kg (r) 2 D) Normal reaction between 3kg and 2kg (s) 6