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The material for the bolt shown in the angled joint above has an ultimate tensile strength of 500 MPa and a shear strength of 300 MPa. The diameter of the bolt is 8 mm. Determine the factor of safety in operation.
The block of material shown below has a shear modulus of 50 GPa. Determine the shear
stress and the shear strain induced by the 2 kN shearing force.
Using Data Below, Compute for the following. Show the Correct and Complete solution
a. Mean
b. Median
c. Mode
d. Standard Deviation
21, 27, 28, 20, 18, 18, 19, 17, 22, 24, 23, 27, 26, 25, 26, 25, 22, 21, 22, 26, 28, 26, 20, 19, 17,18, 26, 27, 27, 22, 23, 25, 25, 27, 28, 20, 19, 17, 16,16, 20,16, 21, 26, 27, 26, 28,16, 25, 28
(i) Determine which of the vectors b or a is perpendicular to a.
Two smooth spheres, S and T, each of mass m lie on the plane ll. Sphere S is projected along the plane towards sphere T with velocity 5x(i + 2j) so that it collides obliquely with T. At the instant of collision, the line of impact is parallel to the vector a. Given that the coefficient of restitution between the two spheres is 1/2,
Show that
(ii) the component of the initial velocity of S parallel to a is 11x.
(iii) the component of the final velocity os S parallel to a is (11/4)x.
(iv) the magnitude of the impulse exerted by sphere T on sphere S is (33/4)mx.
what is not a way to show the theoretical proby
A teacher places 10 differently coloured beanbags on the classroom floor. Each
beanbag is spaced a step apart. The teacher gives Mpho (5 years old) the following
instructions and observes her: Take 4 steps forward on the mats. Now take 3 more
steps from where you are. What number mat did you land on? Now, Mpho, take 2
steps backwards. What is the number of the mat on which you landed?
1) Counting
2) Sorting
3) Ordering
4) Matching
Journalism is a discipline of verification in which commitment to objectivity is crucial -- explain.
a) given the parabola (y+2)²=-8(x + 1), sketch the graph and determine the vertex , focus and directrix line of the parabola .
b)sketch the graph of f(x)=-(|x - 1| - 3) by using transformation technique . begin with f(x).
c)graph the system inequality below and shade the feasible region .
: 3y < 15 - 2x
: y(less and equal than) x + 2
: y < 2
: y is (greater and equal than) 0
Name the different forces present in a fluid flow. For the Euler's equation of motion, which forces are taken into consideration
Main Street Service bought four Michelin tires from a wholesaler for $343.00 and sold the tires at a markup of 30% of the selling price. (a) For how much were the tires sold? (b) What is the rate of markup based on cost?
#339914 on Dec 2023