Question
Asked Oct 1, 2019
Consider the 65.0 kg mountain climber in the figure.
 
(a) Find the tension in the rope (in N) and the force that the mountain climber must exert with her feet (in N) on the vertical rock face to remain stationary. Assume that the force is exerted parallel to her legs. Also, assume negligible force exerted by her arms.
tension in rope N:
force on feet N:
 
(b) What is the minimum coefficient of friction between her shoes and the cliff?
 
310
т
Fiegs
15°
АРТЕОР
help_outline

Image Transcriptionclose

310 т Fiegs 15° АРТЕОР

fullscreen
check_circle

Expert Answer

Step 1

a)

The balancing force along vertical and horizontal direction is,

Т сos(31) + F, sin (15) - mg
F COS(15-Tsin(31) =0
..(m)
help_outline

Image Transcriptionclose

Т сos(31) + F, sin (15) - mg F COS(15-Tsin(31) =0 ..(m)

fullscreen
Step 2

Solving equation (I) and (II), the required tension in the rope is,

Tcos(31)+ssin(15)-[(65)(08)]
cas(15)
T 640.09 N
help_outline

Image Transcriptionclose

Tcos(31)+ssin(15)-[(65)(08)] cas(15) T 640.09 N

fullscreen
Step 3

From equation (II), the required fo...

Cs(15)(640.09)sin(31)-0
341.29 N
help_outline

Image Transcriptionclose

Cs(15)(640.09)sin(31)-0 341.29 N

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Science

Physics

Related Physics Q&A

Find answers to questions asked by student like you

Show more Q&A add
question_answer

Q: A River has a steady speed of 0.500 m/s. A student swims upstream a distance of 1.00 km and swims ba...

A: Consider the motion of the student when the river has some speed. Let vr be the speed of the river, ...

question_answer

Q: An 85-g arrow is gired from a bow whose string exerts an average force of 105 N on the arrow over a ...

A: Given,

question_answer

Q: A jet airliner is moving east at 225 m/s, but experiences a head wind heading north at 50.0 m/s. c) ...

A: Given information:Velocity of jet airliner(vj) = 225 m/s due eastVelocity of the wind (vw) = 50 m/s ...

question_answer

Q: why is the projectile motion in 2 directions can be studied as a combination of 2 one directions?

A: Click to see the answer

question_answer

Q: Rank the crates on the basis of the frictional force acting on them. Rank from largest to smallest. ...

A: Given:

question_answer

Q: A ball, released from rest, takes 4.00s to roll down a straight, 12.0m long, ramp(inclined plane). W...

A: Given,

question_answer

Q: The upper leg muscle (quadriceps) exerts a force of 1150 N, which is carried by a tendon over the kn...

A: Given:Magnitide of force, Fo = 1150 N

question_answer

Q: After watching a food hack video on Facebook, you decide to make some ‘coffee ice cubes’ by freezing...

A: Given information:

question_answer

Q: Using g= 9.8 m/s^2, a person mass is 60 kg.  The individual is riding an elevator, and that elevator...

A: Given:Mass of the person, m = 60 kgAcceleration of the lift, a = 1.74 m/s2 upwardValue of ‘g’ = 9.8 ...