Find the centre of mass of the 2D shape bounded by the lines y between x 3.3kgm-2. = ±0.9x = 0 and x = 3.3. Assume the density is uniform with the value: Also find the centre of mass of the 3D volume created by rotating the same lines about the x-axis. The density is uniform with the value: 2.3kgm-³. (Give all your answers rounded to 3 significant figures.)
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- Question 6: The volume of a box with sides of length a,b and c is V = abc . The surface area of the same box is S = 2(ab+bc+ ac). Derive an expression for the change in volume associated with changing the length a, while holding both S and length b constant. (Hint: The algebra here becomes much simpler than it might first appear through the judicious use of partial derivative relationships.)You come across a picture of three copalanar forces, acting at a point p. The first is 200N and acting at 20degree to the horizontal; the second is 400N and acting at 165degree to the horizontal; the third 500N acting at 250 degrees to the horizontal. Draw what you see in the picture using an appropriate scale use protractor for the angle. B) with the information above show that the magnitude and the direction of the resultant of the three copalanar forces are respectively 474.6N and 38.88 degreePART A) What is the maximum force that can be applied to a bone whose minimum cross-sectional area is 3.0cm^2? (This is approximately the cross-sectional area of a tibia, or shin bone, at its narrowest point.) Express your answer using two significant figures. PART B) Estimate the maximum height from which a 70kg man could jump and not fracture the tibia. Take the time between when he first touches the floor and when he has stopped to be 0.006s, and assume that the stress is distributed equally between his legs. Express your answer using two significant figures. Thank you!!!
- Needs Complete typed solution with 100 % accuracy. Don't use chat gpt please.the average density of an atom is approximately 103 kg/m3. The nucleus of an atom has a radius about 10-5 times that of the entire atom, and contains nearly all the mass of the atom. What is the approximate density, in kilograms per cubic meter, of a nucleus?One day, you are driving your car down the highway, and you notice that you are driving well over the speed limit. You apply the brakes of the carapplying a variable stopping force, until the car slows down to a rea sonable speed of 22.4 m/s (50 mph)A computer plots the force versus time for the vehicle and then measures the area under the curve. It is found that the area is - 18.950N . The total breaking time was 5.4 s. Given that the combined mass of you and your car 1sm = 1200 kg how fast were you moving before applying the breaks? What is the average force applied by the road to the car during breaking? (Note: 1Ns=1kg* m/s)
- Figure x Part A - Moment due to a force specified by magnitude and endpoints F As shown, a member is fixed at the origin, point O, and has an applied force F, the tension in the rope, applied at the free end, point B. (Figure 1) VE ΑΣΦ ↓↑ vec Mo 0.013,97.9, - 196 Submit The force has magnitude F = 140 N and is directed as shown. The dimensions are x₁ = 0.450 m, x₂ = 1.70 m, y₁ = 2.60 m, and z₁ = 1.30 m. B What is the moment about the origin due to the applied force F? Express the individual components of the Cartesian vector to three significant figures, separated by commas. ► View Available Hint(s) Previous Answers X Incorrect; Try Again; 4 attempts remaining 1 of 3 ? i, j, k] N · mUsing the method of components, find the resultant of the following concurrent forces. Note: After solving for the Angle of the Resultant, you must then determine the Direction of the Resultant relative to Horizontal (positive x-axis) in a CCW (counter-clockwise direction). Sometimes the Direction of the Resultant may be the same as the Angle of the Resultant. However, you must always calculate both: the Angle of the Resultant (based on the Resultant triangle sketch) and then the Direction of the Resultant based on Horizontal (positive x-axis) in a CCW direction from horizontal.Answer number 11 only
- A cube with the dimensions bXbXb with mass m lies on the flat horizontal ground. One the side shown in the figure. The thickness normal to the plane of the figure is b. The cube is subject to the earth's gravity and the friction coefficient between the cube abd the ground is mu. Express your answer in terms of the given variables. What is the minimum force required to produce sliding? What is the minumum force required to produce tipping of the cube? Assume the cube is rotating about O. Impulsive horizontal loading L is applied on the edge B such that force F(t) is applied during the very short time delta t: where L= the integral from zero to delta t of F(t)dt. What is the minimum value of the impulse for which the cube tips over and falls on side OA.The Statue of Liberty in New York City is approximately 305 ft305 ft tall. How many U.S. dimes would be in a stack of the same height? Each dime is 1.35 mm1.35 mm thick. number of dimes: Each dime has a mass of 2.268 g.2.268 g. How much would the stack of dimes from the previous question weigh? mass: g What is the value, in dollars, of the same stack of dimes? value: dollars The 2017 U.S. gross domestic product (GDP) was valued at 19,390,604,000 dollars.19,390,604,000 dollars. How many Statue of Liberty‑height stacks of dimes are needed to match the GDP in value? number of stacks:A beam is supported by a roller at A and a pin at B. Determine the reactions at A and B when P = 15 kips. Neglect the weight of the beam.