The pendulum consists of a 5 kg plate and a 3 kg slender rod. Determine the radius of gyration of the pendulum about an axis perpendicular to the plane of movement and passing through point G (the mass center for the pendulum). 2m 0.5 m G E

The sphere with mass m = 30 kg rolls down the inclined plane of angle = 20° without slipping. Determine its mass moment of inertia ½ (in kg•m²) about the axis that passes point A and is perpendicular to the screen. Please pay attention: the numbers may change since they are randomized. Your answer must include 3 places after the decimal point. 0.15 m Your Answer: G Ө Answer A

The 25-kg uniform thin hollow square plate is pinned at point O, and its side L = 0.6 m. If it is subjected to the constant moment M = 83 N•m and is released from rest from the position as shown, determine the total work done to it when it has rotated O 45. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point, and proper SI unit. Take g 9.81 m/s². M 1/2 Your Answer: Answer units

The 20-lb plate is mounted on the shaft AB so that the plane of the plate makes an angle 8-30° with the vertical. If the shaft is turning in the direction shown with an angular velocity of 50 rad/s, determine the vertical reactions at the bearing supports A and B when the plate is in the position shown. (Mass moment of inertia for a square plate with mass-M and side length a equals 1/6 M a²) 18 in. 0-30% 16 in. 6 in. 18 in. FA y 18 in -30° 2016 ΕΜ.Χ. Ay (18)+ (D₂) (18)=0- = Ivi - (Ty - Ix) Wy Ux X 18 in FB

The 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: Answer

The pendulum consists of the 4-kgkg slender rod and the 5.5-kgkg thin plate. Suppose that aaa = 1.5 mm , bbb = 0.5 mm , and hhh = 2.4 mm        A: Determine the location of the center of mass G of the pendulum.     B: Determine the mass moment of inertia of the pendulum about an axis perpendicular to the page and passing through G.

Determine the elongation of a long cylindrical shaft suspended vertically from its end. Express your answer in terms of the cylinder's mass density p, stiffness E, length L, cross sectional area A, and acceleration due to gravity g. δ =

The uniform 60 kg slender rod is at rest in the position shown when P = 600N is applied. Determine the mass moment of inertia (IG) the rod if L1 = 4.5 m and L2 = 5.5 m. A L L2 L1 B

The 10-kg door shown is 80 cm by 120 cm and has a constant thickness before the circular cut (diameter = 15 cm) is made. Calculate the centroid and mass moment of inertia about the z-axis (through the origin) of the door with the hole cut. $15cm gy ૧º- ↓ 80cm 120cm

The 10kg rod has a moment of inertia which is computed from Iç =ml². If it is rotating at w = 2, determine its kinetic energy () when it is computed about the mass center G. u-irade