A painter (mass 72 kg) is walking along a trestle, consisting of a uniform plank (mass 28.5 kg, length 6.000 m) balanced on two sawhorses. Each sawhorse is placed 1.13 m from an end of the plank. A paint bucket (mass 4.02 kg, diameter 24 cm) is placed as close as possible to the right-hand edge of the plank while still having the whole bucket in contact with the plank. (a) How close to the right-hand edge of the plank can the painter walk before tipping the plank and spilling the paint? (b) How close to the left- hand edge can the same painter walk before causing the plank to tip?

A painter (mass 72 kg) is walking along a trestle, consisting of a uniform plank (mass 28.5 kg, length 6.000 m) balanced on two sawhorses. Each sawhorse is placed 1.13 m from an end of the plank. A paint bucket (mass 4.02 kg, diameter 24 cm) is placed as close as possible to the right-hand edge of the plank while still having the whole bucket in contact with the plank. (a) How close to the right-hand edge of the plank can the painter walk before tipping the plank and spilling the paint? (b) How close to the left- hand edge can the same painter walk before causing the plank to tip?

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: A meter stick (a uniform thin rod of length 1.0 m and mass 0.30 kg) is placed on a fulcrum at the 61…

A: Let l denotes the meterstick length, m denotes the meterstick mass, r denotes the pivot distance, x…

Q: Problem 7: Two children of mass 17 kg and 32 kg sit balanced on a seesaw with the pivot point…

Q: A meter stick (a uniform thin rod of length 1.0 m and mass 0.33 kg) is placed on a fulcrum at the 68…

A: Length of meter stick = 1 m mass of meter stick = 0.33 kg location of center of mass of stick = 0.5…

Q: A person bends forward to hold a dumbbell of 10.0-kg. The spine and upper body are pivoted at the…

Q: A uniform ladder is tilted against a smooth wall at an angle 60⁰ with the horizontal. The mass of…

Q: Resting horizontally, a wheelbarrow has a total mass of 65 kg, with its center of gravity 12 cm from…

A: Given: Mass of wheelbarrow: m=65 [kg] The distance of handles from the axle is: d1=1.3 [m] The…

Q: e bones of the forearm about 2.15 cm beyond the joint. Assume the forearm has a mass of 2.45 kg and…

A: Given values:- Biceps muscle connects to the bones of the forearm,(r0)=2.15 cm=0.0215 m -----(1)…

Q: A bench is made by placing a 3.9 meter long plank on two legs, each 0.36 meters from one of the…

Q: The bones of the forearm (radius and ulna) are hinged to the humerus at the elbow. The biceps muscle…

Q: The picture shows and A shape ladder. Both sides of the ladder are equal in length. This ladder is…

Q: A 198 kg, 5 m long beam sits on top of two posts. A 3 kg pail sits 0.7 m from the left edge of the…

A: SOlution:

Q: (a) The fishing pole in the figure below makes an angle of 20.0° with the horizontal. What is the…

Q: We have two masses balanced on a centered beam on a fulcrum. If m1 = 10 kg, and m2 = 20 kg, what…

A: Given data The first mass is: m1 = 10 kg The second mass is: m2 = 20 kg The length of the first arm…

Q: A 400-N uniform rectangular sign 4.00 m wide and 3.00 m high is suspended from a horizontal,…

Q: Two children are balanced on a seesaw that has a mass of 13.0 kg. The first child has a mass of 26.0…

A: Mass of seesaw (M) = 13 kg Mass of first child (m) = 26 kg Distance of first child from pivot (d) =…

Q: A uniform, 20-kg, 8.0-m-long, wooden plank that is parallel to level ground is supported by two…

Q: A heavy block of a mass of M = 71 kg is attached to the left end of a horizontal beam (beam's mass m…

Q: Two people are sitting on either side of a seesaw. One has mass m and is sitting x meters from the…

Q: A uniform plank of length 5 m and weight 200 N rests horizontally on two supports with 1.1 m of the…

Q: A 520-N uniform rectangular sign 4.00 m wide and 3.00 m high is suspended from a horizontal,…

Q: A steel ladder of mass 40 kg and of length 20 m leans against a frictionless wall at a point 16 m…

A: Situation of the problem has been shown in the figure.

Q: At what position (measured from the 0 cm end of the meter stick) should a 0.22 kg mass be hung to…

A: Answer is 61 cm from 0 cm mark . Explanation with answer is in next step.

Q: block of mass M = 6.1 kg rests

A: The questions are answered below

Q: A 67.0 kg adult sits at one end of a 10.0 m board, on the other end of which sits his 23.0 kg child.…

Q: The bones of the forearm (radius and ulna) are hinged to the humerus at the elbow. The biceps muscle…

Q: A person exerts a horizontal force of 42 N on the end of a door 96 cm wide. What is the magnitude of…

A: Given, force , F = 42 N width of door, d = 96cm = 0.96m Magnitude of torque = Force×distance×sinθ…

Q: To get up on the roof, a person (mass 70.0 kg) places a 6.00 m aluminum ladder (mass 10.0 kg)…

A: Given data: M=70.0 kg m=10.0 kg l=6 m x=2 m xcm=2m X=3 m where, M is the Mass of the person m Mass…

Q: A 400-N uniform rectangular sign 4.00 m wide and 3.00 m high is suspended from a horizontal,…

Q: In the figure below, the cg of the pole held by the pole vaulter is 2.54 m from the left hand, and…

A: a) Balancing moment about left hand ∑F = 0.733 FR - (2.54 x 3.32 x 9.8) => FR = 112.7 N ( the…

Q: A 560-N uniform rectangular sign 4.00 m wide and 3.00 m high is suspended from a horizontal,…

A: From the hinge distance of sign, D = 6 m - 2 m = 4 m From the hinge distance of rod, d = 3 m Resolve…

Q: To get up on the roof, a person (mass 62.0 kg) places a 6.80 m aluminum ladder (mass 11.0 kg)…

Q: The bones of the forearm (radius and ulna) are hinged to the humerus at the elbow. The biceps muscle…

Q: A 520-N uniform rectangular sign 4.00 m wide and 3.00 m high is suspended from a horizontal,…

A: a. Tension in the cable = 481.125 N b. horizontal component = 240.56 N vertical component =…

Q: The drawing shows an A-shaped ladder. Both sides of the ladder are equal in length. This ladder is…

Concept explainers

Rotational Equilibrium And Rotational Dynamics

In physics, the state of balance between the forces and the dynamics of motion is called the equilibrium state. The balance between various forces acting on a system in a rotational motion is called rotational equilibrium or rotational dynamics.

Equilibrium of Forces

The tension created on one body during push or pull is known as force.

Question

A painter (mass 72 kg) is walking along a trestle, consisting of a uniform plank (mass 28.5 kg, length
6.000 m) balanced on two sawhorses. Each sawhorse is placed 1.13 m from an end of the plank. A paint
bucket (mass 4.02 kg, diameter 24 cm) is placed as close as possible to the right-hand edge of the plank
while still having the whole bucket in contact with the plank. (a) How close to the right-hand edge of the
plank can the painter walk before tipping the plank and spilling the paint? (b) How close to the left-
hand edge can the same painter walk before causing the plank to tip?
24 cm
1.13 m
1.13 m
6.000 m

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

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

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

Two children of mass 21 kg and 26 kg sit balanced on a seesaw with the pivot point located at the center of the seesaw. If the children are separated by a distance of 2 m, at what distance from the pivot point is the small child sitting in order to maintain the balance? m
To get up on the roof, a person (mass 82.0 kg) places a 6.60 m aluminum ladder (mass 11.0 kg) against the house on a concrete pad with the base of the ladder 2.00 m from the house. The ladder rests against a plastic rain gutter, which we can assume to be frictionless. The center of mass of the ladder is 2 m from the bottom. The person is standing 3 m from the bottom. What are the magnitudes (in N) of the forces on the ladder at the top and bottom? top N bottom N
A hinged beam, 92.5 kg, is supported by a horizontal cable as in the figure. The length of the cable is 2.00 m and the length of the beam is 3.00 m. Find: (a) the torque produced by gravity on the beam, (b) the tension in the cable, (c) the horizontal and vertical components of the force from the hinge, and (d) the magnitude and direction of the force from the hinge.
A uniform, 20-kg, 8.0-m-long, wooden plank that is parallel to level ground is supported by two pivots: one pivot is at the extreme left end of the plank, and the other pivot is 3.0 m inward from the extreme right end of the plank. A 80-kg construction worker, who is initally standing on the extreme left end of the plank, begins to walk to the right. How far from the right end of the plank will the worker be located when the plank begins to tip? 4.0 m 4.0 m 5.0 m a. 4.50 m O b.5.00 m O c. 4.25 m d. 5.25 m O e. 4.75 m
The angle between the beam and the floor is 15.0 degrees. The angle between the rope and the horizontal is 31.0 degrees. The beam is 4.10-m long and has a mass of 6.10 kg. The box sits a distance of d = 0.770 m from the upper end of the beam and has a mass of 9.60 kg.What is the torque due only to the weight of the box if the axis is at the hinge?
A wood plank has a length of 4.2 m and a mass of 14.3 kg. The plank is balanced between two saw horses. One saw horse is positioned directly under one end of the plank, and the other is located a distance d1 = 3.2 m away. A child with a mass of 29 kg walks along the plank, as if it were a balance beam. What is the furthest distance d2 (in meters) from the end of the plank that the child can walk before the plank tips and falls? NOTE: When the plank starts to tip, one of the forces becomes zero.
The diagram above shows a 3.00 m long uniform beam. The left end of the beam is attached to a wall by a frictionless pivot. The beam is supported by a string that keeps the beam horizontal. The string makes an angle of 35.0° relative to vertical. The beam has a mass of 7.00 kg. A 2.00 kg mass is located at the end of the beam. A 6.00 kg mass is located 1.00 m from the 2.00 kg mass, as shown in the diagram. a. What is the tension in the string? b. What is the y-component of force applied to the beam by the pivot?
To get up on the roof, a person (mass 87.0 kg) places a 5.60 m aluminum ladder (mass 14.0 kg) against the house on a concrete pad with the base of the ladder 2.00 m from the house. The ladder rests against a plastic rain gutter, which we can assume to be frictionless. The center of mass of the ladder is 2 m from the bottom. The person is standing 3 m from the bottom. What are the magnitudes (in N) of the forces on the ladder at the top and bottom? top N bottom N
Ryan is attempting to curl a 25-kg dumbbell. He manages to get his forearm to a horizontal position, temporarily holding the dumbbell stationary. The forearm is 30 cm in length and has a mass of 4.0 kg. [Consider the forearm to have uniform mass distribution.] The distal biceps tendon is attached to the radius (one of the two bones of the forearm) 5.5 cm from the elbow. Ryan applies maximum force in an attempt to complete the curl, but his tendon ruptures (i.e., tension goes to zero). What is the total moment of inertia about the elbow (after the rupture)? Select one: a. 0.12 kg∙m2. b. 2.25 kg∙m2. c. 2.37 kg∙m2. d. 2.28 kg∙m2.
Bob and Anna sit on opposite ends of a uniform see-saw which is 12.0 m in length. The see-saw is balanced by a fulcrum which is located 4.00 m from Bob. Bob has a mass of 85.0 kg, and the see-saw itself has a mass of 100 kg. Anna’s mass is unknown. NOTE THAT THE FULCRUM IS NOT PLACED AT THE CENTER OF MASS OF THE SEE- SAW!!! a) What is the net torque on the see-saw? Explain clearly and briefly how you know. b) Draw a properly labeled extended force diagram of the see-saw c) Solve for Anna’s mass. Show your work clearly!
A beam of length L and mass M rests on two pivots. The first pivot is at the left end, taken as the origin, and the second pivot is at a distance e from the left end. A woman of mass m starts at the left end and walks toward the right end as in the figure below. (a) When the beam is on the verge of tipping, find symbolic expression for the normal force exerted by the second pivot in terms of M, m, and g. n2 = (b) When the beam is on the verge of tipping, find symbolic expression for the woman's position in terms of M, m, L, and e. (c) Find the minimum value of e that will allow the woman to reach the end of the beam without it tipping. (Use any variable or symbol stated above as necessary.) emin =
Bob and Anna sit on opposite ends of a uniform see-saw which is 12.0 m in length. The see-saw is balanced by a fulcrum which is located 4.00 m from Bob. Bob has a mass of 85.0 kg, and the see-saw itself has a mass of 100 kg. Anna’s mass is unknown. NOTE THAT THE FULCRUM IS NOT PLACED AT THE CENTER OF MASS OF THE SEESAW!!! a) What is the net torque on the see-saw? Explain clearly and briefly how you know. b) Draw a properly labeled extended force diagram of the see-saw. c) Solve for Anna’s mass.