Have you ever used Mathematica?

What do we want to do today?! Tuesday: 15-1-1440 A bit of housekeeping Complete Chapter-4 Introduce Chapter-5 Prof. Zain Yamani Office: 15-3100/ 3102; Phone: 860-4363; Mobile: 0504608515 E-Mail: zhyamani@kfupm.edu.sa; HP: http://faculty.kfupm.edu.sa/phys/zhyamani

Is it time to have an evening help session? A bit of housekeeping Is it time to have an evening help session?

A bit of housekeeping Attendance If you come late, please make me aware during the (end of) the same lecture.

What if projectile motion had air resistance (drag)? Mathematica: projectile air resistance

Chapter-4: Motion in Two and Three Dimensions Position, displacement, velocity and acceleration Projectile motion Uniform Circular Motion Relative Motion in 1 D Relative Motion in 2 D

Uniform Circular Motion Ch-4 Uniform Circular Motion What do we mean by uniform circular motion? How do we deal with uniform circular motion problems?

A problem on Uniform Circular Motion A particle is in a uniform circular motion in counter clockwise direction starting from the positive x-axis. Its period of motion is 2.1 s and the magnitude of its radial acceleration is 3.0 m/s2. Determine the velocity of the particle when it exactly completes 1.5 revolutions. 152-1

A problem on Uniform Circular Motion A particle is in a uniform circular motion in counter clockwise direction starting from the positive x-axis. Its period of motion is 2.1 s and the magnitude of its radial acceleration is 3.0 m/s2. Determine the velocity of the particle when it exactly completes 1.5 revolutions. 152-1

Another problem on Uniform Circular Motion A star with a diameter of 40.0 km rotates about its central axis making two revolutions per second. What is the speed (km/s), of an object on the star’s equator? A) 251 B) 628 C) 400 D) 100 E) 450 141-1

A) The speed of the particle is constant. A particle is in uniform circular motion. Which one of the following statements is TRUE? A) The speed of the particle is constant. B) The velocity of the particle is constant. C) The radial acceleration of the particle is constant. D) The speed and radial acceleration of the particle are constant. E) The velocity and radial acceleration of the particle are always opposite in direction. 152-1

Ch-4 Relative Motion What do we mean by relative motion (1-D)? How do we deal with uniform circular motion problems?

A problem on Relative Motion Snow is falling vertically at a constant speed of 7.0 m/s. At what angle from the vertical direction do the snowflakes appear to be falling as viewed by the driver of a car travelling on a straight, level road with a speed of 16 m/s? A) 66ᴼ B) 45ᴼ C) 13ᴼ D) 52ᴼ E) 81ᴼ 152-1

Another problem on Relative Motion A boat is traveling upstream towards the east at 10 km/h with respect to the water of a river. The water is flowing at 5.0 km/h with respect to the ground. A man on the boat walks from front to rear at 3.0 km/h with respect to the boat. What are the magnitude and direction of the man’s velocity with respect to the ground? A) 2.0 km/h, towards the east B) 2.0 km/h, towards the west C) 8.0 km/h, towards the east D) 12 km/h, towards the east E) 18 km/h, towards the west 141-1

Another problem on Relative Motion A boat is traveling upstream towards the east at 10 km/h with respect to the water of a river. The water is flowing at 5.0 km/h with respect to the ground. A man on the boat walks from front to rear at 3.0 km/h with respect to the boat. What are the magnitude and direction of the man’s velocity with respect to the ground? A) 2.0 km/h, towards the east B) 2.0 km/h, towards the west C) 8.0 km/h, towards the east D) 12 km/h, towards the east E) 18 km/h, towards the west 141-1

Chapter-4 slides 

Chapter-4 A bullet is fired horizontally from a gun that is 490 m above a horizontal ground. Its initial speed is 10.0 m/s (see Figure). How long does the bullet remain in air? [Ignore air resistance]. A) 10.0 s B) 4.90 s C) 20.0 s D) 1.00 s E) 8.00 s 152-1

Chapter-5: Newton’s Laws of Motion Some particular forces Applying Newton's laws

What are Newton’s three laws?

Laws or not a law? Two types of truths! 

What are the fundamental types of forces in the Universe? Which is the one that is predominant in nature and in technology?

The “free body diagram”

Consider an Atwood Machine where a stretch-less mass-less rope connects to masses (m2 > m1) and hangs over a mass-less frictionless pulley. Draw a schematic diagram of the system. Draw the free body diagram for m1. Derive the acceleration of m1.

What do we mean by normal force? What do we mean by tension? What about the force of friction? (static/ kinetic)

Chapter-5 The Figure shows an initially stationary block of 1.00 kg mass on a rough floor. A force F, of magnitude 4.90 N and making an angle  = 20.0° with the horizontal, is then applied to the block. What is the magnitude of the acceleration of the block across the floor if the coefficient of kinetic friction k = 0.300? A) 2.17 m/s2 B) 3.62 m/s2 C) 5.73 m/s2 D) 1.55 m/s2 E) 1.01 m/s2 141-F

Newton’s 3rd Law

Chapter-5/6 In the Figure, block A with 4.0 kg mass and block B with 6.0 kg mass, lying on a frictionless horizontal surface, are connected by a string of negligible mass. When a single force of magnitude FB = 29 N acts on block B, then both blocks move with a constant acceleration. What is the tension in the string? A) 12 N B) 16 N C) 33 N D) 9.1 N E) 3.9 N 141-F

Chapter-5/6 A 5.00 kg block moves in a straight line on a horizontal frictionless surface under the influence of a single force that varies with position x as shown in the Figure. If the block has a speed v = 3.00 m/s at x = 0.00 m, find the speed of the block at x = 8.00 m. A) 4.36 m/s B) 2.16 m/s C) 3.62 m/s D) 7.73 m/s E) 9.55 m/s 141-F

Chapter-5/6 A block of mass m = 2.00 kg is placed against a spring on a frictionless incline making an angle  = 30.0° with the horizontal, as shown in the Figure (The block is not attached to the spring). The spring, with spring constant k = 1.96×103 N/m, is compressed 20.0 cm and then released. What is the maximum distance along the incline that the block will travel from the release point to its highest point on the incline? (Ignore air resistance) A) 4.08 m B) 5.81 m C) 2.12 m D) 3.00 m E) 7.55 m 141-F

Chapter-5/6 A 4.0 kg block sliding on a frictionless surface breaks into two parts of equal masses. One part moves with a velocity of 3.0 m/s, due north, and the other part moves with a velocity of 5.0 m/s, 30° north of east. What was the initial sliding speed of the block? (Ignore air resistance) A) 3.5 m/s B) 2.2 m/s C) 1.9 m/s D) 4.2 m/s E) 5.1 m/s 141-F

Mathematica can choose 

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