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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- 6. A cubical mass m2 is immersed in seawater (sg = 1.025), as shown, and balanced by another mass m1 = 850 grams. If the dimensions of mass m2 are (75 mm x 75 mm x 75 mm), determine the mass of m2, in grams. * - beam balance mass mass m2 seawater (sg = 1.025)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' bTwo uniform, solid spheres (one has a mass M1= 0.3 kg and a radius R1= 1.4 m and the other has a mass M2 = 2M, kg and a radius R2= 2R;) are connected by a thin, massless rod of length L= 4R1. Find the moment of inertia (in kg.m2) about the axis through the center of sphere 1. (Igphere = MR?). Axis of rotation R, R2 a. 59.74 b. None of the choices O c. 117.13 d. 97.37 O e. 45.04
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- The 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 nThe 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 m2An object is formed by attaching a uniform, thin rod with a mass of mr = 6.86 kg and length L = 5.76 m to a uniform sphere with mass ms = 34.3 kg and radius R = 1.44 m. Note ms = 5mr and L = 4R. 1) What is the moment of inertia of the object about an axis at the left end of the rod? kg-m2 2) If the object is fixed at the left end of the rod, what is the angular acceleration if a force F = 463 N is exerted perpendicular to the rod at the center of the rod? rad/s2The moment of inertia of an aeroplane air screw is 20 kg - m ^ 2 and the speed of rotation is 1000 r.p.m clockwise when viewed from the front. The speed of the flight is 200 km per hour. Find the gyroscopic reaction of the air screw on the aeroplane when it makes a left-handed turn on a path of 150 m radius.