A block of mass m=8.5 kg is pushed up on a frictionless inclined plane by a horizontal force F as shown in the figure below. If the angle of inclination is  θ=10o and the block accelerates up with anacceleration of 1.6 m/s2 determine the magnitude of F

Instructions Use g = 10 m/s2 Always answer in standard units (SI units). Unless otherwise instructed.  Answer to 2 decimal places. Unless otherwise instructed.  A block of mass 3.0 kg is pushed up against a wall by force P that makes an angle of theta = 50 degree with the horizontal (see the figure). THe coefficient of static friction between the block and the wall is 0.25. Find the minimum force of P that can hold the block against the wall (the block does not accelerate downward).

In the figure below, a block of mass M hangs at rest. The rope that is fastened to the wall is horizontal and has a tension off 52 N. The rope that is fastened to the ceiling has a tension of 91N and makes an angle theta with the ceiling. What is the angle theta? What is the mass M? You MUST draw all the force vectors on the figure with their corresponding unit vectors( i , j ,k )   and then write the relation between forces based your sketches. Show your complete solution

2. Bones and Muscles. A patient in therapy has a forearm that weighs -20.5Nj and that lifts a -112.0Nj weight. These two forces have direction vertically downward. the only other significant forces on his forearm come from the biceps muscle (which acts perpendicularly to the forearm) and the force at the elbow. If the biceps produces a pull of 232 N when the forearm is raised above 43° the horizontal, find the magnitude and direction of the force that the elbow exerts on the forearm. (The sum of the elbow force and the biceps force must balance the weight of the arm and the weight it is carrying, so their vector sum must be 132.5 N, upward.) Vector addition Given the following vectors: A = 10mi + 20m 2 4. P=Z+L 5. F=A+L+G+L 6. S=P-F G=55.2m, 45° South of West L = 10m, 85° East of South Draw the graphical representation and compute for the x- and y- components and the angle of the following resultant vectors: 3. R=A+G