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A pulley is mounted on a frictionless axis and then the pulley is attached to the
higher end of the inclined surface as shown in the figure. A massless cord is
wrapped around the pulley while its other end is tied to a 1.0 kg object. The pulley
has a radius of 20 cm and moment of inertia of 0.4 kg m2

. The angle of the surface
is 37
A portable basketball set has a base and a post arrangement. The post arrangement
consists of a post, backboard, hoop and net. The base can be filled with water to
increase stability. The maximum weight of the base is about 810 N and the weight
of the post arrangement is 26.0 N. The basketball set may topple over when the
wind blows due to the large area of the backboard.
a) Determine the minimum force of the wind, Fw that will cause the basketball set
to be blown over when it is at the angle shown. Ignore the effect of the wind on
the base.
b) The base is filled with sand instead of water. The density of the sand is greater
than the density of the water. Justify what would happen to the value of Fw
calculated in part (a).

To go from your house to a nearby hospital, you must walk 11 m E and then turn 13 m 63º S of W. What is your displacement? Use graphical (parallelogram method) and trigonometric method.


Make a worded problem with complete solution applying the component method. Use the direction in your house (Starting point: door – going to living room – going to your bed room – going to kitchen – going to CR). Minimum of 4 vectors


An LRT car, 5 km distance from the Tayuman, takes 100 A over a 100 mm hard-drawn copper  trolley wire having a resistance of 0.270 ohms per km. The rail and ground return has a resistance  of 0.06 ohm per km. If the station voltage is 750 V, what is the voltage of the car? 




What are the vector components of the following: Round off your answer to two decimal numbers. Using analytical method.


a. G = 10m, 150°

b. L = 10m, 90°

c. A = 10m, 360°


d. D = 10m, 36° N of W


What are the vector components of the following: Round off your answer to two decimal numbers.

a. G = 10m, 150°

b. L = 10m, 90°

c. A = 10m, 360°

d. D = 10m, 36° N of W


You throw a ball with a mass of 2.1 kg. The ball leaves your hand at 30m/s. The ball has _______ energy. Calculate it

A foolish man tried to pull out a nail in the wall with a string attached to the head of the nail . The man pulled at an angle of 30° the wall . if the tension in the string is 5N , Calculate the force effective in pulling out the nail .

Explain why the man is foolish


1. A rectangular timber tie, 180 mm by 80 mm, is reinforced by a bar of aluminium of 25 mm diameter. Calculate the stresses in the timber and reinforcement when the tie carries an axial load of 300 kN. E for timber 15 GN/m²; E for aluminium = 90 GN/m².


(17.8 MN/m²; 106.8 MN/m²)


2. A concrete column having modulus of elasticity 20 GN/m² is reinforced by two steel bars of 25 mm diameter having a modulus of 200 GN/m². Calculate the dimensions of a square section strut if the stress in the concrete is not to exceed 7 MN/m² and the load is to be 400 kN.


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