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To push a 25 kg wooden box up a 30° inclined plane, a man exerts a force of 150 N parallel to the inclined plane. The wooden box slides 5 meters and the coefficient of friction between the wooden box and the inclined plane is 0.25;


a. Draw the clear and neat figure of the system.


b. Draw the Force diagram.


c. Establish the convenient axis and reflect the component of the forces along the convenient axis.

1. A uniform 20 ft long and weighing 20lbs is held by Peter 2 ft from the left end while John carries the same bar 5 ft from the right end.


a. Draw the clear and neat figure. Label the figure properly.


b. Draw the force diagram and reflect the distances between the forces.

Explain different addressing modes. What are the advantages of Relative addressing mode over Direct addressing mode?


For this assignment, do a take-off for Structural Work. For this assignment, you may only focus on the Reinforcement ONLY. Exclude the concrete and formwork from the take-off list. Include in your take off list:


1. Reinforcement in slab

2. Reinforcement in pad footing

3. Starter bar in column stump


The electromagnetic spectrum contains various types of radiation with dierent properties. The James Webb Space Telescope is not like an optical telescope at home and does not capture visible light; instead, it observes the sky in the infrared spectrum. Explain what infrared radiation is and answer the following questions: How is infrared radiation dierent from visible light? Why does the JWST observe infrared light, and what are the scientific advantages for astronomers


The James Webb Space Telescope is positioned around 1.5 million kilometres from the Earth on the side facing away from the Sun. The telescope remains at this distance and orbits around the Sun with the Earth’s orbital velocity. (a) Why is it important to position the JWST behind the Earth? (b) Determine the angular velocity ω of the telescope as it orbits around the Sun. The centrifugalFω and gravitational forceFG are acting on objects orbiting the Sun: F = Fω−FG (c) Based on this, how much should the telescope accelerate towards or away from the Sun? (d) Why is the orbit of the telescope stable nonetheless? What otherforces need to be considered


Assume that a gravitational anomaly in the solar system has shied afield of asteroids into Earth’s orbit, and the field is now moving directly towards Earth. The asteroid field has a density of ρ (asteroids/volume), and each asteroid has an average mass of m. The asteroid field stretches over a distance d in Earth’s path. Assume that the Earth moves with a velocity of v, the asteroids with u, and that v  u. Let R be the radius and M the mass of the Earth. The Earth collides with the asteroid field: v u Show that the slow-down ∆v of the Earth due to the asteroid collisions is given by: ∆v = v  1 − 1 1 + πR2dρ m M 


The James Webb Space Telescope (JWSP) was finally launched into space on December 25, 2021,


and is about to become one of the most important scientific instruments of our time. Name the


major components of the JWSP shown in the figure below:


(A) (B) (C)


(D) (E) (F)


(G) (H) (I)


(J)

The James Webb Space Telescope is positioned around 1.5 million kilometres from the Earth on


the side facing away from the Sun. The telescope remains at this distance and orbits around the


Sun with the Earth’s orbital velocity.


(a) Why is it important to position the JWST behind the Earth?


(b) Determine the angular velocity ω of the telescope as it orbits around the Sun.


The centrifugalFω and gravitational forceFG are acting on objects orbiting the Sun: F = Fω−FG


(c) Based on this, how much should the telescope accelerate towards or away from the Sun?


(d) Why is the orbit of the telescope stable nonetheless? What otherforces need to be considered?

 

Solve by method of circular disk

 

1.    The area bounded by the parabola x2 – 2x + y =3, the y – axis and the line y = 4, revolves about the line y = 4. Find the volume generated.

 

Solve by method of cylindrical shell

 

2.    The area bounded by the parabola y2 + x - 2y =1, the x – axis and the line x =2 revolves about the line x=2. Find the volume generated.

 


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