Athabasca University PHYS 204 Assignment 4 Assignment 4
The ten questions below cover Units 11-13 and each carries equal weight. You are expected to
solve all questions in detail and submit by uploading to the appropriate drop box. Scanned copy
of your handwritten solutions should be acceptable.
1. A 4.00-kg particle moves in the xy plane with a constant speed of 9.00 m/s along the
direction of the vector (ı̂ − ȷ̂). When the particle is at the position (4.00 m, 0) calculate its the
angular momentum relative to the point (2.00 m, 0).
2. A 10.0-kg disk, of radius 50.0 cm, rotates while experiencing variable torque given by the
equation = (3.00 − 2.00) N ∙ m. At = 2.00 s, the disk has angular momentum equal to
6.00 kg ∙ m2 /s. Calculate its angular speed and angular momentum at = 5.00 s 3. A small 60.0 g block slides down a frictionless surface through a height h = 25.0 cm and then
sticks to the lower end of a vertical rod of mass 150 g and length 50.0 cm. The rod pivots
about a point near its upper end through an angle θ before momentarily stopping. Find θ. Physics 204: Physics for Scientists and Engineers I 1 4. A 32.0 kg child sits near the edge of a rotating merry-go-round that has the shape of a uniform
disk of mass 60.0 kg and diameter 2.00 m. When the rotational speed is ω = 1.00 rad/s, the
child catches a ball of mass 0.500 kg thrown by her mom. Just before the ball is caught, it has a
horizontal velocity of magnitude v = 16.0 m/s at an angle θ = 30.0° with a line tangent to the
outer edge of the merry-go-round, as shown. Calculate the angular speed of the merry-goround just after the ball is caught. 5. A horizontal beam of length 9.0 m and mass 30 kg is hinged at the wall, with the far end
supported by a cable that makes an angle of 60° with the horizontal. A 20 kg sign hangs from
the beam by two cables as shown. The cable can sustain a maximum tension of 900 N. A
76 kg man starts at the hinge and walks on the beam towards the sign. Calculate:
a. the maximum distance the man can walk safely
b. the reaction forces at the hinge just before the cable breaks 2 Assignment 4 6. Two ladders, 4.0 m and 3.0 m long, are hinged at point A and tied together by a horizontal
rope 75 cm above a frictionless surface, as shown. The mass of the longer ladder is 30 kg and
that of the shorter one is 20 kg.
a. Calculate the upward reaction forces at the bottom of each ladder.
b. Calculate the tension in the rope. 7. A square ceramic tile of side width 50 cm is prepared to fit around an edge. A square section
of side length 25 cm is cut from one corner of the tile, as shown. As a result, the centre-ofmass of the tile shifts from point A to point B. Find the distance between the two points. 8. A satellite moves in a circular orbit of radius 5.20 × 104 km around a planet with a period of
62.0 hours. If the gravitational acceleration near its surface is 6.80 m/s2 , calculate the
planet’s mass and radius. Physics 204: Physics for Scientists and Engineers I 3 9. A particle of mass m is placed at a point along the axis of a ring at a distance d from its
centre, as shown. The ring has a mass M and radius a.
a. Calculate the gravitational potential energy of the system. b. Show that when ≪ the gravitational potential energy reduces to that between two
point particles. 10. A weightlifter can lift 120 kg on Earth. What mass could the same person lift on
a. the moon?
b. the sun?
(See Table 13.2 in the textbook for planetary data.) 4 Assignment 4

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