The photovoltaic (PV) panel installer on the roof of a building is holding on to a rope that goes over a pulley, and connects to a hanging PV panel. Assume a massless rope that goes over a massless pulley with a frictionles bearing. The PV panel installer slides down the roof, which is at an angle of 15.0° from the horizontal. The mass of the installer is 75.0kg, and the mass of the PV panel is 15.0kg. a) Draw the two free body diagrams (FBDs) and show your choice of coordinates for each. b) For each FBD, write Newton's 2nd Law decomposed into components, based on your choice of coordinates. (Remember the hint: keep track of which variables are known, and which are unknown.) c) Solve for the acceleration of the installer (note that it's the same magnitude as the acceleration of the PV panel). d) Solve for the tension in the rope. e) Solve for the normal force on the installer due to contact with the roof.

The photovoltaic (PV) panel installer on the roof of a building is holding on to a rope that goes over a pulley, and connects to a hanging PV panel. Assume a massless rope that goes over a massless pulley with a frictionles bearing. The PV panel installer slides down the roof, which is at an angle of 15.0° from the horizontal. The mass of the installer is 75.0kg, and the mass of the PV panel is 15.0kg. a) Draw the two free body diagrams (FBDs) and show your choice of coordinates for each. b) For each FBD, write Newton's 2nd Law decomposed into components, based on your choice of coordinates. (Remember the hint: keep track of which variables are known, and which are unknown.) c) Solve for the acceleration of the installer (note that it's the same magnitude as the acceleration of the PV panel). d) Solve for the tension in the rope. e) Solve for the normal force on the installer due to contact with the roof.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: Mary and her sister are playing with a cardboard box on the neighborhood hill. Mary climbs into the…

A: Consider the free-body diagram fo the box-child system as follows.

Q: Consider the system of two crates shown below, which are tethered to each other by a massless…

A: Solution: given that m1 = 35 kg m2 = 60 kg L = 22 m angle = 31.7 degrees coeff of kinetic friction =…

Q: Alex is asked to move two boxes of books in contact with each other and resting on a rough floor. He…

Q: A boy of mass 40.0 kg is sledding down a 70.0-m slope starting from rest. The slope is angled at…

Q: A 50.0 g ball is shot in the horizontal direction, aimed directly at a wall. The initial speed of…

Q: Alex is asked to move two boxes of books in contact with each other and resting on a rough floor. He…

A: Given that,Fp=8.7 NmA=10.6 kgmB=7 kgμk=0.02

Q: As a fish jumps vertically out of the water, assume that only two significant forces act on it: an…

Q: Two blocks, M₁ and M₂, are connected by a massless string that passes over a massless pulley, as…

Q: tension force on the box gravitational force on the box E

A: Given: The mass of the box is 4 kg. The acceleration due to gravity is 10 m/s2. The speed of the…

Q: tabletop as the third block is hanging from the massless pulley. Block A has a mass of mA = 2.50 kg,…

Q: A teenager of mass m1=50.6kgm1=50.6kg pushes backward against the ground with his foot as he rides…

Q: Two penguins, Wheezy and Mumble, are racing down an icy slope into the water below. Wheezy has a…

A: The coefficient of friction μ=0.12 The angle of inclination θ=80 The free body diagram of the…

Q: A 53.8-kg skater is standing at rest in front of a wall. By pushing against the wall she propels…

Q: A car traveling at 45 km/h hits a bridge abutment. A passenger in the car moves forward a distance…

Q: You're standing at the top of a snow-covered hill, sloped at 20.0°. The coefficient of kinetic…

Q: Ronnie and Smythe, who are thieves, are sliding a 300 kg bank safe across a bank floor, which is…

A: The frictional force on safe is given by

Q: A teenager is pushing a cart. There is no friction between the cart and the ground. Mass of the…

A: 1. First, determine the cart’s constant acceleration (a) during the given time due to the force (F)…

Q: Two blocks, M₁ and M₂, are connected by a massless string that passes over a massless pulley. M₁ has…

Q: The figure below shows two blocks connected by a string of negligible mass passing over a…

A: for equilibrium,for m1,T=m1*g= 9.0 kg x 9.8 m/s^2 = 88.2 N for m2,T=m2*g*sin(theta)so m2= 88.2N /…

Q: The figure shows two blocks connected by a cord (of negligible mass) that passes over a frictionless…

A: It is clear from the figure that the block m2 has more mass so that it accelerates down ward and…

Q: A particle with a mass of 10 kg is moving at a velocity of (3t^2 + 4t)j m/s. What would be the…

Q: You have been called to testify as an expert witness in a trial involving a head-on collision. Car A…

A: From conservation of energy,

Q: You are out on a hike and come across an unfortunate scene: a fellow hiker has fallen off a ledge.…

Q: A small block with mass 0.200 kg is released from rest at the top of a frictionless incline. The…

A: Given Data :m1 = 0.2 kgm1 = 0.4 kgdistance travelled by m1 in 0.2seconds is 0.508 metersinitial…

Q: Two blocks are connected by a string as in the figure and the system is released from rest. The…

Q: Review Conceptual Example 16 as background for this problem. The water skier there has a mass of…

Q: A teenager is pushing a cart. There is no friction between the cart and the ground. Mass of the…

A: Given: No friction between the cart and the ground Mass of cart Mc=120kg Initial velocity Vi =0 Cart…

Q: At one point in time, a 17.5 kg sled is moving over a horizontal snow surface at a speed of 3.50 m /…

A: Given: The mass of sled is m=17.5 kg. The speed of sled is v=3.50 m/s. The time after sled stops is…

Q: net force of 20 N is acting on a falling object. The object experiences air resistance of 6.0 N. If…

Q: An antique mahogany Igorot bust, that weighs 40.6 kilograms, on a frictionless ramp is attached to a…

Concept explainers

Newton’s Third Law of Motion

The horse pulls the cart and the cart pulls the horse in response as per Newton third law. So the big question is, “Don’t the two forces cancel each other? How does the cart accelerate?”

Question

The photovoltaic (PV) panel installer on the roof of a building is holding on to a rope that goes over a pulley, and connects to a hanging PV panel. Assume a massless rope that goes over a massless pulley with a frictionless
bearing. The PV panel installer slides down the roof, which is at an angle of 15.0° from the horizontal. The mass of the installer is 75.0kg, and the mass of the PV panel is 15.0kg.
a) Draw the two free body diagrams (FBDs) and show your choice of coordinates for each.
b) For each FBD, write Newton's 2nd Law decomposed into components, based on your choice of coordinates. (Remember the hint: keep track of which variables are known, and which are unknown.)
c) Solve for the acceleration of the installer (note that it's the same magnitude as the acceleration of the PV panel).
d) Solve for the
tension in the rope.
e) Solve for the normal force on the installer due to contact with the roof.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Part (a)

Part (b)

Part (b)

Part (c)

Part (d)

Part (e)

Trending now

This is a popular solution!

Step by step

Solved in 6 steps with 6 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

A 42-kg skater is standing still in front of a wall. By pushing against the wall she propels herself backward with a velocity of -2.8 cm/s. Her hands are in contact with the wall for 0.80 s. Ignore friction and wind resistance. Find the average force (in N) she exerts on the wall (which has the same magnitude, but opposite direction, as the force that the wall applies to her).
Mary and her sister are playing with a cardboard box on the neighborhood hill. Mary climbs into the box, the total mass of the box with Mary in it is 115 kg. The box starts at rest at the beginning of the incline. The hill is at an incline of 28 degrees with respect to the horizontal.The static and kinectic friction between the box and hill is 0.4 and 0.2 respectively. Assume that Mary is now in the box, but has not started to move. a. What is the magnitude of the friction force acting on the box?b. What is the magnitude of the net force acting on the box and child system?c. Will the box slide down the hill, or stay at rest?
A block with a mass of m = 22 kg rests on a frictionless surface and is subject to two forces acting on it. The first force is directed in the negative x-direction with a magnitude of F1 = 12 N. The second has a magnitude of F2 = 18.25 N and acts on the body at an angle θ = 19° measured from horizontal, as shown. Write an expression for the magnitude of the normal force, FN, acting on the block, in terms of F2, g, and the other variables of the problem. Assume that the surface it rests on is rigid. Write an expression for the component of net force, Fnet,x, in the x-direction, in terms of the variables given in the problem statement. Part (d) Find the block's acceleration in the x-direction, ax, in meters per second squared.
A frog with some sort of little monster on his back is swimming in a bathtub of split tomato soup. The frog's mass is m1 = 0.0280 kg, and the monster's mass is m2 = 0.0300 kg. The frog propels the monster and himself forward with a constant force of F = 0.440 N and accelerates at a constant rate of a = 2.65 m/s^2. a) What is the resistive force of the split tomato soup on the frog? b) If the frog starts at rest at one side of the bathtub and swims across its length in t = 1.91 s, how long is the bathtub? c) How much work is done by the split tomato soup on the frog?
Emma and Katie are racing along in their new wagon. Upon reaching the bottom of the hill traveling at 13.2 m/s, Katie notices her teddy bear 12.0 m in front of them, panics and locks the brakes sending the wagon into a skid. If the wagon and its contents have a total mass of 1.50 x10^1 kg, and the coefficient of kinetic friction between the road and the rubber wagon tires is (0.75), by how much does the wagon miss the bear?
A 54.9-kg skater is standing at rest in front of a wall. By pushing against the wall she propels herself backward with a velocity of -1.93 m/s. Her hands are in contact with the wall for 1.09 s. Ignore friction and wind resistance. Find the average force she exerts on the wall (which has the same magnitude, but opposite direction, as the force that the wall applies to her). Note that this force has direction, which you should indicate with the sign of your answer. Number -9.72 Units
While rollerblading through your neighborhood, you suddenly lose control and begin coasting down a hill, unable to stop. Fortunately, you see a neighbor moving a mattress into their house and decide that colliding with the mattress would be far less painful than the alternatives. Your plan works to perfection and you are slowed gently over the course of 1.4 seconds. Assuming your mass is 80 kg and your initial velocity was 10 m/s, find the average force applied on your body by the mattress (in N).
Two forces are acting on a 0.250 kg0.250 kg hockey puck as it slides along the ice. The first force has a magnitude of 0.360 N0.360 N and points 15.0°15.0° north of east. The second force has a magnitude of 0.600 N0.600 N and points 75.075.0° north of east. If these are the only two forces acting on the puck, what will be the magnitude and direction of the puck's acceleration? Enter the direction as an angle measured in degrees counterclockwise from due east.
A farmer is lifting a sheep out of a hole in the ground using his truck. The truck has a mass of 2100 kg, the sheep has a mass of 42 kg. The truck is accelerating backwards (to the right) at a rate of 0.2 m/s?. The truck is a rear- wheel drive, and the tyres do not slip on the ground. All dimensions in m 0.4 0.6 T A B 1.2 2.3 (a) Draw a clear free body diagram of the truck. (b) Calculate the tension T in the towing cable. (c) Calculate the normal reactions at the front (NF) and rear (NR) pair of wheels.
A m1 = 5.01-kg block is placed on top of a m2 = 10.0-kg block (figure). horizontal force of F = 45.0 N is applied to the 10.0-kg block, and the 5.01-kg block is tied to the wall. The coefficient of kinetic friction between all moving surfaces is 0.182.(a)Draw a free-body diagram for each block and identify the action–reaction forces between the blocks.(b) Determine the tension in the string in magnitude of newtons.(c) Determine the magnitude of the acceleration of the 10.0-kg block.
The figure shows a container of mass m1 = 4.9 kg connected to a block of mass m2 by a cord looped around a frictionless pulley. The cord and pulley have negligible mass. When the container is released from rest, it accelerates at 2.2 m/s? across the horizontal frictionless surface. What are (a) the tension in the cord and (b) mass m2? (al Number Units The absolute tolerance is ± 0.1. (b) Number Units This answer has no units * (degrees) Save for Later Attempts: 0 of 3 used Submit Answer m kg m/s m/s^2 N/m kg-m/s or N-s N/m^2 or Pa kg/m^3 m/s^3 times
Dr. Miller is conducting an experiment. He has a stack of books on a table which is frictionless and flat. He applies a force F on the stack, and finds that it accelerates at 3.0 m/s². He then adds a book to the stack. This is a physics textbook that has a mass of 1.0 kg. He then applies the same force F on the stack and finds that now the stack accelerates at 2.0 m/s². What was the mass of the original stack of books? a) 1.0 kg Ob) 2.0 kg c) 3.0 kg O d) none of the above