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Find the magnitude and direction of the resultant force for the system of forces shown in the figure. Where F1 =10 N, F2 =10N, F3 =25 N, F4 =15N, F5 = 30N & F6 =10N. The angles 02 =20°, 03 =35° , 04 = 50°, 06 = 30 ° (ENTER ONLY THE VALUES IN THE BOXES BY REFERRING THE UNIT GIVEN IN BRACKET. ALSO UPLOAD YOUR HANDWRITTEN ANSWERS IN THE LINK PROVIDED) F2 F3 F4 F1 F6 Fs (1) The horizontal component 2H of the given system (unit is in N) =, (2) The horizontal component EV of the given system (unit is in N) = (3) The resultant of the given force system is (unit in N) = (4) The direction of Resultant is =

Two blocks of mass M and m are sitting on a surface inclined at angle θ. The blocks are touching. The coefficient of static friction between the smaller block and the surface is μs1, and the coefficient of static friction between the larger block and the surface is μs2. Formulate a mathematical inequality for the condition that no sliding occurs. There may be more than one inequality.

A 315 kg block on a frictionless surface was pulled by a horizontal force with magnitude 230 N to make it move along the horizontal surface. Find the normal force.

please show full solution with formulas and units.

As you will see in a later chapter, forces are vector quantities, and the total force on an object is the vector sum of all forces acting on it. In the figure below, a force ₁ of magnitude 6.80 units acts on a box at the origin in a direction 0 = 29.0° above the positive x-axis. A second force F2 of magnitude 5.00 units acts on the box in the direction of the positive y-axis. Find graphically the magnitude and direction (in degrees counterclockwise from the +x-axis) of the resultant force ₁ + F2. magnitude direction F₂ F₁ i units ° counterclockwise from the +x-axis

A block of mass m = 5.3 kg is pulled up a 8 = 24° incline as in the figure below with a force of magnitude F = 38 N. F m i (a) Find the acceleration of the block if the incline is frictionless. (Give the magnitude of the acceleration.) m/s² (b) Find the acceleration of the block if the coefficient of kinetic friction between the block and incline is 0.11. (Give the magnitude of the acceleration.) m/s²

There is a rough plane inclined at an angle θ to the horizontal where tan(θ)=12/5. Assume that μs = μk = 1.6. A rope applies a tension of 9 N to pull a 1.3 kg particle down the incline. What is theparticle’s acceleration? Use g=10m/s/s. (Side note: It will be helpful to draw the relevant free body diagram and to convert the decimal numbers to fractions.)

Four forces act on an object, given by A = 47.3 N east, B = 37.3 N north, C = 78.7 N west, and D = 80.7 N south. (Assume east and north are directed along the +x-axis and +y-axis,respectively.)   (a) What is the magnitude of the net force (in N) on the object?   (b) What is the direction of the force? (Enter your answer in degrees counterclockwise from the +x-axis.) ° counterclockwise from the +x-axis

Four forces act on an object, given by A 353 N east, B-403 N north, C- 68.7 N west, and D 94.7 N south. (Assume east and north are directed along the +x-axis and y-axis, respectively) HINT (a) What is the magnitude of the net force (in N) on the object? (b) What is the direction of the force? (Enter your answer in degrees counterclockwise from the x-axis) counterclockwise from the +x-axis