1. The picture shows a gibbon hanging from a tree branch in tropical forest. If you know the mass of the gibbon and the angles made by the hands either with horizontal or vertical direction, you should be able to calculate force or tension on each hand of the gibbon using equilibrium conditions after drawing a free body +y diagram. The sketch shows a free body diagram of the T1 gibbon. T2 a. (10 points) Draw the components of forces T1 and T2 along the x and y axes and list the values (ignore signs as 02 +x your sketches will show the direction of components) in terms of T1, q1 and T2, q2 below mg T1x = Tıy = T2x = Tzy = b. (10 points) Use equilibrium conditions along x and y directions. It will result into two equations. c. (10 points) Assuming m = 55 kg, 01 = 65 degrees and 02 = 35 degrees solve above equations for T1 and %3D T2.

A100-kg sofa needs to be moved across a level floor. The coefficient of static friction between the sofa and the floor is 0.40. Two physics students decide to apply a force F!" on the sofa. One student recommends that the force be applied upward at an angle theta above the horizontal. The other student recommends that the force be applied downward at an angle theta below the horizontal. Explain which student has the better idea and why.

D A 30° 40 kg B 1. Draw the Free Body Diagram (FBD) for ring A. 2. What is the tension force felt by wire AB and wire AD? Please write answer on a sheet of Engineering paper and submit a legible copy in PDF format. No late quizzes will be accepted after the 10 min deadline.

A certain orthodontist uses a wire brace to align a patient's crooked tooth as in the figure below. The tension in the wire is adjusted to have a magnitude of 28.0 N. Find the magnitude of the net force exerted by the wire on the crooked tooth.

A cardboard box rests on the floor of an elevator. The box has a mass m = 2.75 kg and the elevator has an upward acceleration of a.   a.  Write an expression for the sum of the forces acting on the box in the y-direction, ΣFy, given that up is the positive y-direction. Your answer should be in terms of FN, m, and g.  b. Write an expression for the normal force, FN, that the block experiences in terms of the elevator's acceleration, the block's mass, and the acceleration of gravity.  c.  If the elevator's acceleration has a magnitude of g in the downward direction, what would the normal force, FN1 be in Newtons?  d.If the elevator's acceleration had a magnitude of g in the upward direction, what would the normal force FN2 be in Newtons?

A teenager of mass m1 = 56 kg pushes backwards against the ground with his foot as he rides his skateboard. This exerts a horizontal force of magnitude F foot = = 18.5 N. The skateboard has m2 = 2.6 kg. a. Write an expression for the magnitude of the horizontal component of force that the ground exerts on the teenagers foot, F ground. b. Write an expression in terms to given quantities for the magnitude of the skateboard acceleration, a , while the teenager is pushing backwards on the ground? c. What is the numerical value of the magnitude of the acceleration, a, in m/s square?

A traffic light weighing 600N hangs from vertical cable tied to two other cables that are fastened to a support, as in figure. Draw free body diagram. Find the tension in each of three cables. B3. (67.0° 43.0°

The distance between two telephone poles is 44.0 m. When a 1.00-kg bird lands on the telephone wire midway between the poles, the wire sags 0.180 m. Draw a free-body diagram of the bird. How much tension does the bird produce in the wire? Ignore the weight of the wire.

In the figure below, three connected blocks are pulled to the right on a horizontal frictionless table by a force of magnitude T3 = 71.2 N.   (a) If m1 = 12.5 kg, m2 = 23.5 kg, and m3 = 30.5 kg, calculate the magnitude of the acceleration of the system. m/s2(b) Calculate the tension T1. N(c) Calculate the tension T2. N