Slide 1 : P. K. BHARTI, I.I.T. KHARAGPUR Newton’s Laws
of Motion
Problems
30.06.2010
(Private Class) © 2007-10 P K Bharti, IIT Kharagpur
Slide 2 : P. K. BHARTI, I.I.T. KHARAGPUR Q1. The force on a particle of mass 10 g is
If it starts from rest at t = 0, what would be its position at t = 5s.
Slide 3 : P. K. BHARTI, I.I.T. KHARAGPUR Q2. A block of mass m is placed on a smooth inclined plane of inclination ? with the horizontal. The force exerted by the plane on the block has a magnitude
mg
mg/cos ?
mg cos ?
mg tan ?
Slide 4 : P. K. BHARTI, I.I.T. KHARAGPUR Q3. A block of mass m is placed on a smooth wedge of inclination ? with the horizontal. The whole system is accelerated horizontally so that the block does not slip on the wedge. The force exerted by the wedge on the block has a magnitude
mg
mg/cos ?
mg cos ?
mg tan ?
Slide 5 : P. K. BHARTI, I.I.T. KHARAGPUR Q4. Given m1 = 300 g and m2 = 600 g. The system is released from rest.
Find the distance travelled by the first block in first two seconds.
Find the force exerted by the clamp on the pulley.
The larger mass is stopped for a moment 2.0 s after the system is set into motion. Find the time elapsed before the string is tight again. m1 m2
Slide 6 : P. K. BHARTI, I.I.T. KHARAGPUR Q5. The monkey B shown in figure is holding on to the tail of the monkey A which is climbing up a rope. The masses of the monkeys A and B are 5kg and 2 kg respectively. If A can tolerate a tension of 30 N in its tail, what force should it apply on the rope in order to carry the monkey B with it? Take g = 10 m/s2.
Slide 7 : P. K. BHARTI, I.I.T. KHARAGPUR Q6. A mass of 10 kg is suspended through two light spring balances as shown in figure.
Both the scales will read 10 kg
Both the scales will read 5 kg
The upper scale will read 10 kg and the lower zero.
The readings may be anything but their sum will be 10 kg.
Slide 8 : P. K. BHARTI, I.I.T. KHARAGPUR Q7. Three rigid rods are joined to form an equilateral triangle ABC of side 1 m. Three particles carrying charges 20 µC each are attached to the vertices of the triangle. The whole system is at rest in an inertial frame. The resultant force on the charged particle A has the magnitude
Zero
3.6 N
3.6v3 N
7.2 N
Slide 9 : P. K. BHARTI, I.I.T. KHARAGPUR Q8. In figure assume that there is negligible friction between the blocks and table. Compute the tension in the cord and acceleration of m2 if m1 = 300 g, m2 = 200 g and F = 0.40 N.
Slide 10 : P. K. BHARTI, I.I.T. KHARAGPUR Q9. Find the acceleration of the body of mass m2 in the arrangement shown in figure if the mass of m2 is n times great as the mass of m1, and the angle that the inclined plane forms with horizontal is equal to ?. The masses of pulleys and threads, as well as friction, is assumed to be negligible.
Slide 11 : Q10. A smooth semicircular wire track of radius R is fixed in a vertical plane. One end of a massless spring of natural length 3R/4 is attached to the lowes point O of the track. A small ring of mass m which can slide on the track is attached to the other end of the spring. The ring is held stationary at point P such that the spring makes an angle 600 with the vertical. The spring constant k = mg/R. Consider the instant when ring is released. Determine the tangential acceleration of the ring and the normal reaction.
Slide 12 : P. K. BHARTI, I.I.T. KHARAGPUR Next Class
Friction
Thursday, July 1, 2010 8:30 PM
Slide 13 : P. K. BHARTI, I.I.T. KHARAGPUR © 2007-10 P K Bharti, IIT Kharagpur Subscribe complete presentation from
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