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- h y g(x) density p = 800 kg m³ Determine the cone's radius of gyration about the x-axis. 2h x An engineering student has modelled a truncated cone in CAD software by rotating the coloured area about the x-axis. The y-coordinate can be described by the equation g(x) = + 1 and the cup has constant 6 The cone has dimensions h = 1 m and l = 6 m. XQUESTION: It is wanted to withdraw from A end with V_A velocity velocity (a_A = 0 m / s ^ 2) as shown on AB rod. Find the force F that will satisfy this condition. In this case, what are the support reactions at A and B points? Ignore the mass and atalat moments (I) and friction forces of the wheels. The inertia moment table of the rod is given.The assembly shown consists of a flywheel, a counterweight, and a bolt that attaches the counterweight to the flywheel. The flywheel is uniform with mass per area of 3 g/mm² and has a 40 mm diameter hole as shown. Determine the mass mc of the counterweight so that the center of mass of the assembly is at point O. The counterweight is attached to the flywheel by a bolt with mass mp= 800 g that is screwed into a 10 mm diameter hole that passes completely through the flywheel. (Round the final answer to four decimal places.) flywheel 40 mm o counterweight and bolt mc, mB 45 mm 100 mm 50 mm The mass mc of the counterweight is g.
- Determine the equivalent spring constant of the system where the spring will be located in the position of k1. k1=1N/m, k2=5N/m (answer in N/m) * Sphere, mass m, No slip Bell crank lever, - mass moment of inertia Jo 06. mThe 24-kg uniform thin hollow square plate is pinned at point O, and its side L = 0.3 m. Determine its mass moment of inertia / (in kg•m²) about point O. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. Take g = 9.81 m/s². M Your Answer: AnswerConsider the system of two blocks. Thereis no friction between block A and the tabletop. The mass of block B is5.00 kg. The pulley rotates about a frictionless axle, and the light ropedoesn’t slip on the pulley surface. The pulley has radius 0.200 m andmoment of inertia 1.30 kg . m2. If the pulley is rotating with an angularspeed of 8.00 rad/s after the block has descended 1.20 m, what is themass of block A?
- Draw the FBD for the bar described in Prob. 5.1 if the bar is homogeneous of mass 50 kg. Count the unknowns.The iillustration depicts a prototype design for the High-G Rover. It is made up of an arm that is attached to a shaft that is pinned to a disk. The aarm has a retractable shaft that extends and contracts to cause the disk to rotate. To make the computation easier, let us assumee that the arm does nott rotate A. If the arm's total length is L = 640mm, the distance from the centre of the disk to the shaft pin is r = 112mm, and the arm rotates clockwise at a constant angular velocity of 250.273 rpm. 1.) Would an increase in angular velocity increase point C's linear velocity relative to point A? If so, why or why not? a.) What is the linear velocity of point C with respect to point A if the angular position of the pin (between AB and BC) is 0.578 radians? b.) What is the distance between points A and C if the angular position of the pin (between AB and BC) is 0.578 radians? c.) What is the linear velocity of point C with respect to point A if the angular velocity is increased by 34.34…if mass (m)=345kg radius of gyration kG = 0.54 m θ= 200 degree 1) assuming no slipping and when starting from horizontal cable (θ = 0o) the spool moves to the left- determine the minimum tension in the cable (Tmin) that causes the spool to slip. Assumeμk = 0.4 and μs = 0.5.
- Consider a hollow clay cylinder, which has a moment of inertia 87 kg-m2. The cylinder is free to rotate frictionless-ly, and it starts from rest. It rotate about a fixed axis through its center. Let's assume that we apply a tangential force to the end of the cylinder (the flat face of the shape) with a magnitude which can range from F = 0 to F = 61 N. The force can be applied at any distance from the axis of the cylinder ranging from R=0 to R=4 m from the axis of rotation. (a) Find a pair of values of F and R that cause the disk to complete 2.00 rev in 10.0 s. (b) Is your answer for the previos part unique? How many answers exist?it is known that the shaft in the shape with a rotating disk on it rotates parallel to the horizontal plane. rotation speeds are wr=955 wp=296 rpm. Find the mass of the rotating disk to remain in a parallel position.gravitational acceleration g=9.81 m 2. mass moment of inertia of disk I=0.090479 kgm 2Determine the radius of gyration kx (in inches) of the homogeneous body (shown in the image below) about the x axis. The specific weight of the material is g = 400 Ib/ft°, the length /= 10 in., and the exponent in the equation a = 1.9. Please pay attention: the numbers may change since they are randomized. Your answer must include 3 places after the decimal point. ya = x Your Answer: Answer