H.W: which series converge and which diverge: 1. Στη n=1 2. Συ 1 35 n=1 Vn

6. Determine the magnitude of the resultant R, if P2 = 978, P3 = 780.

Use virtual work to find the displacement at point C.

Determine the moment of inertia Ix of the sphere and express the result in terms of the total mass m of the sphere. The sphere has a constant density ρ.

m4.B6-7 solve and show the complete solution

Determine the smallest moment of inertia I required for the beam shown so that its maximum deflection does not exceed the limit of 1/360 of the span length (L/360). Let E=200 GPa. A. 6355 (10^6) mm^4 B. 6552 (10^6) mm^4 C. 5625 (10^6) mm^4 D. 5256 (10^6) mm^4

A shunt pipe placed horizontally is shown on the right. The average velocity of section 1 is V1 = 3.5 m/s and its water pressure is P1 = 140 kPa. Does not consider energy loss If it is lost, try to find the magnitude and direction of the external force required to fix the shunt.

X *16-36. At the instant shown, the shaft and plate rotates with an angular velocity of w = 14 rad/s and angular acceleration of a = 7 rad/s². Determine the velocity and acceleration of point D located on the corner of the plate at this instant. Express the result in Cartesian vector form. X D 0.4 m B Z. 0 0.4 m α 3 A 0.6 m 0.2 m) C 0.3 C-(-0.3 m 0.3 m -y

H D Z G O -ye P E Ze Xe LL F B y A X For the diagram above, given that coordinates G = (0, 0, 0.04), E = (0.08, 0.2, 0.04) and D = (0.08,0,0) metres and P = 20 N, determine the following: The y component of the position vector,FED = -0.2 m. The z component of the position vector,ED. = -0.04 m • The magnitude of the position vector,Ikn. = 0.204 m. The y component of the position vector, UED = -0.200 m The z component of the position vector, UED = -0.040 The y component of the force vector P = -4 N The z component of the force vector P = -0.8 N • • 1. The x component of the position vector,IGD. Please provide the answer in metres and report to three significant figures. 2. The z component of the position vector,GD. Please provide the answer in metres and report to three significant figures. 3. The x component of the moment at Point G,Mc. Please provide the answer in Newton- metres and report to three significant figures. 4. The y component of the moment at Point G,MG. Please provide the…

of the tip P of the planar robot using vector addition (use the ↑ and ĵ notation). b. Determine the magnitude and direction of the position of the robot tip. In other words, → write vector P in the polar form. y, in. C P ܂ -45° · x, in. 21.21 14.14 P₁ -135°