The length of nylon rope from which a mountain climber is suspended has a force constant of 1.28 x 10* N/m. (a) What is the frequency (in Hz) at which he bounces, given that his mass plus the mass of his equipment is 72.0 kg? 2.094 Hz (b) How much would this rope stretch (in cm) to break the climber's fall if he free-falls 2.00 m before the rope runs out of slack? Hint: Use conservation of energy. 52.90 cm (c) Repeat both parts of this problem in the situation where twice this length of nylon rope is used. 2.1 stretch length (in cm) frequency (in Hz) x Hz 72.19 x cm

If the values for frictional force are given: 8.83, 9.81, 11.77, 12.76 and 14.72 and for normal:16.68, 19.62, 22.56, 25.51 and 28.45 respectively. 1. Plot a graph for frictional force versus normal force. Be sure to label both x and y axes with the correct scale and units. 2. Draw a line of best fit for the curve.

The forces are in static equilibrium. The 140 lb force is directed along the x-axis and the 300 lb force is directed along the negative z-axis. What is the angle between R and the z-axis? Provide your answer in degrees, but do not include units in your answer. Z X R ex лог 140lb A 1-50, 80, 160) lb By 300 lb Y

ma tug-of-war game on one campus, 15 students pull on a rope at both ends in an effort to displace the central knot to one side or the other. Two students pull with force 196 N each to the right, four students pull with force 87 N each to the left, five students pull with force 62 N each to the left, three students pull with force 150 N each to the right, and one student pulls with force 250 N to the left. Assuming the positive direction to the right, express the net pull on the knot in terms of the unit vector. How big is the net pull on the knot? In what direction? net pull N to the Select an answer v %3D TA 8088 ni pnibne inu

Can you explain how did they get the 102 degree.

Reminders: Write out the equation you intend to use before substituting in it.

A uniform plank of length 2.00 m and mass 32.0 kg is supported by three ropes, as indicated by the blue vectors in the figure below. Find the tension in each rope when a 690-N person is d = 0.500 m from the left end. magnitude of T. magnitude of T2 N magnitude of T. 40.0° 2.00 m Need Help? Read It

You wish to help the child carry the backpack. Find the magnitude of force you should apply to the backpack with weight 34 lb and the angle to minimize the amount of force the child needs to provide if a is fixed at 20.1°. B = Child B W y α O You X

The length of a wire is l1 when the tension in it is T1 and is l2 when the tension is T2. Find the original length of the wire.

The flanged steel cantilever beam with riveted bracket is subjected to the couple and two forces shown, and their effect on the design of the attachment at A must be determined. Replace the two forces and couple by an equivalent couple M and resultant Rat A. The couple is positive if counterclockwise, negative if clockwise. 2.01 KN 0.49 m 1.52 m- 76⁰ A 6 Answers: M= kN.m R=( i i+ i L-- 500 N·m 10.17 m 0.17 m 1.05 KN j) kN