Three small spherical masses are located in a plane at the positions shown below. Y (m) 4 3 2 1 0 -2 -3 S R -4 -5 -4 -3 -2 -1 8 1 X (m) 345 The masses are Q=0.800 kg, R=0.700 kg, and S=0.400 kg. Calculate the moment of inertia (of the 3 masses) with respect to an axis perpendicular to the xy plane and passing through x=0 and y=-3. [Since the masses are of small size, you can neglect the contribution due to moments of inertia about their centers of mass.] 28.8kg m^2

The two spheres A and B each have a mass of 400 g. The spheres are fixed to the horizontal rods as shown in (Figure 1) and their initial velocity is 2 m/s. The mass of the supporting frame is negligible and it is free to rotate. Neglect the size of the spheres. Figure -0.3 m S M 0.3 m B 1 of 1 Part A If a couple moment of M = 0.9 Nm is applied to the frame, determine the speed of the spheres in 3 s. Express your answer to three significant figures and include the appropriate units. V= Value Submit μA Provide Feedback Request Answer Units ?

Find the magnitude and direction in X and Y of the motion of the joint at point C of the flat truss supporting a load of 1000 N as shown in the figure below. The value of E=210GPA for each member, the elements have a circular section with an external diameter of 75 mm and a thickness of 5 mm. Use the work and energy method. (In the picture it says 10 but it's 1000) E D B 1920 mm 1080 mm ION 810 mm 1440 mm

4. The velocity of a particle which moves along S-axis is given by V = 2 – 4t +5t^(3/2) where t is in seconds and V is in m/s. The particle is at the posi- tion S = 3m whent = 0. A.) Compute the position S when t = 3sec. B.) Com- pute the velocity of the particle when t = 3sec. C.) Compute the accelera- tion when t = 3sec. Answer: 22.2m (19.1769m), 15.98m/s, 8.99m/s^2

A 5-kg rod of uniform cross section is used to form the shaft shown. Knowing that the shaft rotates with a constant angular velocity ω of magnitude 12 rad/s, determine (a) the magnitude of angular momentum HG of the shaft about its mass center G, (b) the angle formed by HG and the axis AB.

Determine the moment of inertia about x' axis and x axis. 200 mm 不 lomm x' 20 mm 20 K A 20k mm mm

A homogeneous disk with a radius of 9 in. is welded to a rod AG with a length of 18 in. and of negligible weight that is connected by a clevis to a vertical shaft AB. The rod and disk can rotate freely about a horizontal axis AC, and shaft AB can rotate freely about a vertical axis. Initially, rod AG is horizontal (0o= 90°) and has no angular velocity about AC. Knowing that the smallest value of 0 in the ensuing motion is 30°, determine (a) the initial angular velocity of shaft AB (b) its maximum angular velocity.

A chain that has a mass of 0.8 kg/m is draped over the sprocket which has a mass of 2 kg and a radius of gyration of ko = 50 mm. (Figure 1) Figure 100 mm- s=1m A 0 1 of 1 If the 5 kg block A is released from rest from the position s = 1 m, determine the angular velocity of the sprocket at the instant s = 2 m. For the calculation neglect the portion of the chain that wraps over the sprocket. Express your answer to three significant figures and include the appropriate units. μА w = 42.233 rad S ?

The position of a particle moving along the x-axis is given by (X(t)=3t+2t^3 ). Find the acceleration a= 3+6t^2 ( m/sec2) 12 (m/sec2) 12 t ( m/ssec2) Object's mass is 15 kg is resting on a table. An external force ( 10 N) act with angle ( 30) on this object. Find the minimum force let it moving. ( g=10m/sec2) * 5 N 150 N 8.66 N

Q # 2: Determine the Moment of Inertia about x-axis (Ix) and y-axis (Iy) of the area shown in figure Q2. 3 m 6 m 6 m 6 m Figure Q2