posted by .

A bolt secured to a bridge is being acted upon by forces being exerted by two cables attached to the bolt. The force vector for one of the cables is represented by F1 = <1.7,9.8>. The other force vector, F2, is known to have a magnitude 5 and a direction angle of 10 degrees. Determine the angle between the two cables that are attached to this bolt. (Round your answer to 2 decimal places.)

  • trig -

    convert the first from rectangular to polar coordinates:

    r^2 = 1.7^2 + 9.8^2 = 98.93
    r = 9.95

    tanθ = 9.8/1.7
    θ = 80.16°

    so, the angle between the vectors is 80.16 - 10 = 70.16°

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math

    the lions gate bridge in vancuver BC, is a suspension bridge that spans 1516m. Large cables are attached to the tops of the towers, 50m above the road. the road is suspended from the large cables with small vertical cables, the smallest …
  2. physics

    an electric sign weighing 200 newtons is supported by two slanting cables. each cable is attached to the same point of the sign and makes a 45 degree angle with the horizontal. what is the component of the force exerted by the sign …
  3. physics

    In Fig. 12-51, uniform beams A and B are attached to a wall with hinges and loosely bolted together. Beam A has length LA = 2.55 m and mass 49.0 kg; beam B has mass 69.0 kg. The two hinge points are separated by distance d = 1.86 m. …
  4. Math

    The Lions Gate bridge in Vancouver is a suspension bridge. The main span between the two towers, is 427m long. Large cables are attached to the ends of the both towers, 50m above the road. Each large cable forms a parabola. The road …
  5. Science

    gravitational forces are be acted on a space center what other data need to show the forces a-direction of the opposite force b-magnitute of the downward force graviatational forrces are being acted on a space station i think what …
  6. Trig

    2 vectors at a Right angle to each other are pulling on a bolt. vector 1 = 650; vector 2 = 300 then R = ?
  7. physics

    To tighten a bolt, you push with a force of 84N at the end of a wrench handle that is 0.24m from the axis of the bolt. If you move your hand inward to be only 0.10 m from the bolt, find the force that you should exert to achieve the …
  8. analytic geometry

    The main cables of a suspension bridge uniformly distribute the weight of the bridge when in the form of a parabola. The main cables of a particular bridge are attached to towers that are 600 ft apart. The cables are attached to towers …
  9. vectors/work

    . In many applications a bolt is required to be tightened to a specific moment (torque), this is measured with a torque wrench. A bolt is located at the origin and is rotated so that the axis of rotation should be the z axis. A 0.5 …
  10. physics

    An engineer uses a bolt to connect a joint. The force provided by the bolt F is a function of the external load P that it must bear. The bolt applies a force of 200 lb against an external load of 100 lb. The same bolt must apply a …

More Similar Questions