Part A 2 m 1 m 2m Determine the projection of the force F along the pole. Express your answer to three significant figures and include the appropriate units.

Obtain the general solution to the equation. (x² + 25) dy + xy = 7x, y(0) = 1 dx

(c) In Figure Q4 (c), the 30 N block is moving up the smooth inclined surface at velocity and constant force of 2 m/s and 15 N, respectively. (i). Draw the kinetic diagram of all forces exerted on box (ii). Calculate the velocity of the block when it has moved 1 m up the surface from its present position.

The mechanism used in a marine engine consists of a single crank AB and two connecting rods BC and BD as shown in (Figure 1). Assume r = 0.2 m Part A Determine the magnitude of the velocity of the piston at D the instant the crank is in the position shown and has an angular velocity of w 4 rad/s. Express your answer with the appropriate units. НА VD = Value Units Submit Request Answer Part B Determine the direction of the velocity of the piston at D the instant the crank is in the position shown and has an angular velocity of w = 4 rad/s. Oup and to the left Figure <1 of 1 O down and to the right Submit Request Answer

5)* If y=(x-1)v2x–x +Arcsin(x–1), find y. V2x-x O None of the above Option 2 y = Arcsin(x -1) y' =2/2x -x² Option 1 O Option 3

Given that z = −2 is a root, find the other two roots of 4z3 +11z2 +10z+8=0

Q1: A: If the position of a certain body was (-13) unit according to X-axis, then it is moved to be arrived (40) unit according to the same axis (X-axis). Calculate the displacement of this body.

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3x, + 3x, + 5x, 3x, + 5x, + 9x, = 2 5x, + 9x, + 17x, = 4 =D1 21