12) A barge is pulled by two tugboats. If the resultant of the forces exerted by the tug boats is 30 kN directed along the axis of the barge; a Determine the tension in each of the ropes when a = 35°
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- A persons head is bent over a book. The head weighs P=37.2 N and is supported by the muscle force Fm exerted by the neck extensor muscles and by the contact force Fc excerted at the atlantooccipital joint. Given that the magnitude of Fm is 60.0 N and is directed 35.0 degree below the horizontal. Find the direction of the contact force Fc. If the direction is below the horizontal, enter a negative value.Find the resultant of the following forces by polygon method : F1=12 N, South; F2= 24N 30 degree north of west; F3= 15 N, 75 degree of west; and F4=32 N, 50 degree south of eastThe wind force (F) on a flat vertical surface varies jointly as the area of the surface (A) and the square of the wind velocity (V). Suppose that the constant of variation is 40, find the force (in lbs) of the windstorm on 10 ft by 12 ft rectangular sign board that has a velocity of 60mi/hr
- A barge is pulled by two tugboats. If the resultant force exerted by the tugboats is 5kN force directed along the x-axis of the barge, determine the tensions in each of the rope knowing that a=45 degrees.Forces P, Q and S of magnitudes 6.00 N, 10.00 N and 8.00 N respectively, acts on point O such that the angle made by force P is 50o counter clockwise from the positive x axis, force Q acts at an angle of 38 o counter clockwise from the negative y axis and force S acts at an angle of 32 o counter clockwise from the positive y axis. The direction of the resultant force isForces P, Q and S of magnitudes 6.00 N, 10.00 N and 8.00 N respectively, acts on point O such that the angle made by force P is 50o counter clockwise from the positive x axis, force Q acts at an angle of 38 o counter clockwise from the negative y axis and force S acts at an angle of 32 o counter clockwise from the positive y axis. A force L where L = Q + 2S is
- Determine the resultant of the given forces. f! acting with a magnitude of 8 N and f2 acting at an angle of 600 to f1 with a magnitude of 8 NIt is intended to remove a stake from the ground by means of two ropes, as shown in the figure. Knowing the magnitude and direction of the force exerted on one string, determine the magnitude and direction of the force P that must be exerted on the other string if the resultant of the two forces is to be a 40-lb vertical force.Consider a 50-N weight suspended by two wires as shown in the accompanying figure. If the magnitude of vector F1 is 35 N, find angle a and the magnitude of vector F2.
- 2) A student’s head is bent over her physics book. The head weighs P = 24.6 N and is supported by the muscle force F→mF→m exerted by the neck extensor muscles and by the contact force F→cF→c exerted at the atlantooccipital joint. Given that the magnitude of F→mF→m is 60.0 N and is directed 35.0° below the horizontal. a.) Find the magnitude of the contact force F→cF→c . b.)Find the direction of the contact force Fc−→Fc→ . If the direction is below the horizontal, enter a negative value.Two wires attached to a corner fence post with the wires making an angle of 90° with each other. If each wire pulls on the post with a force of 50 pounds, what is the resultant force acting on the post?A mountain climber practices his technique in a mountain climbing school by balancing while suspended by two ropes attached to the ceiling. As shown by the figure, the left rope makes an angle of 60 degrees with the horizontal ceiling and the right rope makes an angle of 30 degrees with the horizontal ceiling. If the right rope has tension T1=322 N, what is the weight of the mountain climber?