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The Mars Rover Curiosity that landed on Mars at 1:17 EST AM on August 6, 2012, has an approximate mass of m= 910 Kg and an approximate wheelbase w = 2.60 m (A new rover, Perseverance, landed at 4.55 PM EST on February 18, 2021 -- a similar rover but 2.5 times heavier/bigger.) Consider that the location of the center of gravity of Curiosity is equally spaced between wheels at w/2 and at a height h = 1.05 m as shown in the figure by the red dot. Note Mars's gravity is Smars = 3.72 m/s2 The rover has 3 wheels per side, one at the front, one at the middle, and one in the back for a total of 6 wheels. Assume that reactions at the front middle and back wheels on the LOWER side (A) are equal to each other. Likewise, the reactions at the front middle and back wheels on the UPPER side (B) are also equal to each other. 2
Part A - FBD Draw the free-body diagram of Curiosity Consider that the terrain in the upper side B is smoother than the lower side A, such that friction coefficient at pb=0.50 PA Note that NA and FA are the normal and frictional forces per wheel on the LOWER side respectively and NB andFB are the normal forces and frictional forces per wheel on the UPPER side respectively. Draw the vectors starting at the back dots with yellow glow. The location and orientation of the vectors will be graded. Q? No elements selected h NR FB B w2 Select the elements from the list and add them to the canvas setting the appropriate attributes.
Part B Determine the greatest slope dripping of the terrain that Curiosity would be able to drive through without tipping. Hint: Tipping will occur when Ng becomes 0. Express your answer in degrees to three significant figures. ] ΑΣΦ Ι ! νοο ? Digging = Submit Request Answer Part C-Does Curiosity tip over? If Curiosity travels on terrain with a slope 0 = 18.0 deg, will Curiosity tip over? no yes Submit Request Answer Part D - Minimum Friction Coefficient Determine the friction minimum coefficient of friction A needed to avoid slipping when 8 = 18.0 deg AED vec ? HA Submit Request Answer
Part E - Normal force at A Determine the normal force NA of a single wheel at A (lower side of the rover). Remember that there are 3 wheels on the lower side. 10 AED UT vec ? NA- N Submit Request Answer Part F- Friction force at A Determine the friction force FA of a single wheel at A (lower side of the rover). Remember that there are 3 wheels on the lower side. 10 AED 1 vec ? FA- N Submit Request Answer Part G - Normal force at B Determine the normal force Ng of a single wheel at B (upper side of the rover). Remember that there are 3 wheels on the upper side. 10 AED 11 vec ? NB- N Submit Request Answer
Part 1 - Friction force at B Determine the friction force Fg of a single wheel at B (upper side of the rover). Remember that there are 3 wheels on the upper side ΟΙ ΑΣΦr vec ? FB = N Submit Request Answer Part1 - Mars and Earth Is the friction coefficient that is necessary to avoid slipping (that you determined in Part D for Mars) different on planet Earth with a gravity of 9.81m/s?? Yes, a larger coefficient of friction is needed as weight forces are larger than on Mars Yes, it is smaller than Mars since larger normal forces allow larger frictional forces, and thus, a lower friction coefficient is needed. No, it is the same. The friction coefficient is independent of gravity. Submit Request Answer