2) A uniform slender rod has a length, L, cross sectional area, A and a planar mass density distribution of p (kg/m^2). Determine the second moment of mass about an axis passing through the mass center perpendicular to the longitudinal axis. ANS. mL^3/12 N Z N dm X
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- 4) Use the parallel axis theorem to determine the second moment of mass about the z-axis through the origin for a thin rectangular plate with base b, and height h. Ул ANS. Z 3 [b² + h²] (kg-m^2) h z' bDon't Use Chat GPT Will Upvote And Give Handwritten Solution PleaseThe mass distribution of a 3 dimensional rigid body is characterized by the Principal moment of inertia O Moment of inertia along any two mutually perpendicular axes Moment of inertia along the axis of rotation O Moment of inertia tensor
- 5. Consider the flat object bounded by the curves y = 4x and y = Vx +b where (b=2). The area density of the M object is o = yx where the relationship between the total mass M and y is = 0.0309. Find the y-coordinate of the center of mass of this object (do not find the x coordinate of the center of mass). 1 y em Ym = vdm MEquation of Motion The triangle is made of 3 rods of a length 1-2.1ft and density is p = 4 lb/ft. ^ 1) Establish what you think is the best Coordinate system for this problem and explain why. 2) Find the location of the center of gravity (x bar and y bar). 3) Find the weight of the triangle. 4) Find the Mass Moment of Inertia at O of the triangle. 5) Draw the FBD and kinetic diagram of the triangle. 6) Find the accelerations of the triangle (angular and linear). 7) Find the Pin Reaction at O: . On and Ot • or Ox and Oy . • Magnitude O, and direction. In the box below, enter the angular acceleration & in rad/s with one decimal. Include the sign + if CCW or - sign if CW.D
- Plz solve correctlyThe centre of mass of a non-uniform rod of length 4 m whose mass per unit length is K = 3x kg/m, where x is in m. The distance of centre of mass from its one end which is at origin will beThe figure below shows the positions of the Centers of mass of the three disks on a rotating shaft. m. =6 kg, M2=4 kg, m3=5 kg, r-=100 mm, r2=200 ver3 = 300. B to dynamically balance the shaft it is desirable to place balancing masses of 3 kg each in their planes. Balancing find the positions of the center of mass (004) of mass A in the unit of cm and degrees. The D value in the figure is 200 mm. mlg my m1 37 53 200 mm 150mm 200 mm ma Please choose one n
- The mass moment of inertia I of a homogeneous sphere about its diameteris I = (2/5)m R², where m and R are its mass and radius, respectively. Find thedimension of I in terms of the base dimensions of (a) a gravitational [FLT] systemand (b) an absolute [MLT] system.Find the equivalent moment of inertia of the rocker arm assembly with respect to the location of kt. mass1=10kg Jo=20kg-m2 mass2=15kg, a is half of b. The rocker is 30 centimeters long. (kg-m2) * k1 Jo- k2 m2this is wrong do not answer unless it is correct