Newton's Laws problems (29.06.10)

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Newton's Laws problems (29.06.10)

Solutions of these problems will be discussed in today's class.

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Slide 1 : P. K. BHARTI, I.I.T. KHARAGPUR Newton’s Laws of Motion Problems 29.06.2010 © 2007-10 P K Bharti, IIT Kharagpur

Slide 2 : P. K. BHARTI, I.I.T. KHARAGPUR Q1. A reference frame attached to is an inertial frame by definition. cannot be an inertial frame because the earth is revolving around the sun. is an inertial frame because Newton’s laws are applicable in this frame. cannot be an inertial frame because the earth is rotating about its axis.

Slide 3 : P. K. BHARTI, I.I.T. KHARAGPUR Q2. A particle is found to be at rest with when seen from a frame S1 and moving with a constant velocity when seen from another frame S2. Mark out the possible option/s Both the frames are inertial. Both the frames are noninertial. S1 is inertial and S2 is noninertial. S2 is inertial and S1 is noninertial

Slide 4 : P. K. BHARTI, I.I.T. KHARAGPUR Q3. Figure shows the displacement of a particle going along the x axis as a function of time. The force acting on the particle is zero in the region AB BC CD DE

Slide 5 : P. K. BHARTI, I.I.T. KHARAGPUR Q4. Figure shows a heavy block kept on a frictionless surface being pulled by two ropes of equal mass m. At t = 0, the force on the left rope is withdrawn but the force on the right end continues to act. Let F1 and F2 be the magnitude of forces by the right rope and the left rope on the block respectively. F1 = F2 = F for t < 0 F1 = F2 = F + mg for t < 0 F1 = F2 = F for t > 0 F1 < F, F2 = F for t > 0

Slide 6 : Q5. A block is kept on the floor of an elevator at rest. The elevator starts descending with an acceleration of 12 m/s2. Find the displacement of the block during first 0.2 s after the start. Take g = 10 m/s2. 20 cm 24 cm 4 cm 44 cm

Slide 7 : P. K. BHARTI, I.I.T. KHARAGPUR Q6. A force F = v x 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 the horizontal direction. With what minimum speed a particle of mass m be projected so that it continues to move undeflected with a constant velocity?

Slide 8 : P. K. BHARTI, I.I.T. KHARAGPUR Q7. Find the reading of the spring balance shown in figure. The elevator is going up with an acceleration of g/10, the pulley and the string are light and the pulley is smooth.

Slide 9 : P. K. BHARTI, I.I.T. KHARAGPUR Q8. Given m1 = 5 kg, m2 = 2 kg and F = 1 N. find the acceleration of either block. Describe the motion of m1 if the string breaks but F continues to act. m1 m2 F F

Slide 10 : P. K. BHARTI, I.I.T. KHARAGPUR Q9. Find the accelerations of A and B.

Slide 11 : P. K. BHARTI, I.I.T. KHARAGPUR Q10. A car is speeding up on a horizontal road with an acceleration a. Consider the following situations in the car. A ball is suspended from the ceiling through a string and is maintaining a constant angle with the vertical. Find this angle. A block is kept on a smooth incline and does not slip on the incline. Find the angle of the incline with the horizontal.

Slide 12 : P. K. BHARTI, I.I.T. KHARAGPUR More questions on Newton’s Laws Tomorrow Private Class Tuesday, June 29, 2010 8:30 PM

Slide 13 : P. K. BHARTI, I.I.T. KHARAGPUR Next Class Friction Thursday, July 1, 2010 8:30 PM

Slide 14 : P. K. BHARTI, I.I.T. KHARAGPUR © 2007-10 P K Bharti, IIT Kharagpur Subscribe complete presentation from www.vidyadrishti.com Mail: vidyadrishti@gmail.com Phone: 09333377572

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