ind [r(t) · u(t)] and [r(t) x u(t)] in two different ways. dt dt r(t) = cos ti + sin tj + tk, u(t) = j + tk (a) Ir(t) · u(t . u(1)] (i) Find the product first, then differentiate. 2t + cos t (ii) Apply the properties of the derivative. cos t+ 2t (b) Ir(e) x u(t)] (i) Find the product first, then differentiate. (ii) Apply the properties of the derivative.

1. Show that: GE (a) k = 9G-3E 3k-2G (b) v = 6k+2G

I. Given the following matrices: 6 -2 -2 4 -4 A = 10 -3 1 В - 4 7 -10 1 \-4 0 11 a = (1 b = ( 3 0 8 ) Solve: 1.) Aa 2.) AB 3.) 5B(За + 2b") 4.) (A + B )2

Please I need answer now

find deflection, shear at a and b

Problem 3: Inputs: ● ● ● 0= 40° (measured from vertical) L₁ = 1.25 in (measured horizontally) L₂ = 10 in T = 135 lb-in A torque of T is required to loosen the bolt at A. What force P must be exerted to loosen the bolt. 0 L₂ P

Determine the force in each member of the truss and state if the members are in tension or compression. (Use method of joints please) Note: please double check your answers thanks!.

Hello tutor, in this question the answer is already given.  From the picture attached, just please help me identify what is the value for  Vmax = ? Mmax = ?   You can choose for the answer in Vmax in the table Shear (kN) You can choose for the answer in Mmax in the table Moment (kN m)

Make it

The torsional assembly consists of solid 3.0 in. diameter aluminum [G= 4,000 ksi] segments (1) and (3) and a central solid 3.4 in. diameter bronze [G= 6,500 ksi] segment (2). Segment lengths are L₁ - L3 = 38 in. and L₂ = 70 in. Concentrated torques of Tg = 2To and Tc-To are applied to the assembly at B and C, respectively. If the rotation angle at joint B must not exceed 2.2%, determine: (a) the maximum magnitude of To that may be applied to the assembly. (b) the maximum shear stress magnitude in aluminum segments (1) and (3). (c) the maximum shear stress magnitude in bronze segment (2). (1) B 2To L2 (2) C To L3 (3) D