1.25 m 0.3 m 0.25 m 0.5 m 0.25 m B 0.15 m 0.75 m 1.5 m Figure 3 The loader has a mass of 1.18 metric ton, and its centre of mass is at G1. The loader is sliding down on a muddy incline of angle 0 =20°. The kinetic friction coefficient is Hk =0.15 and the driver uses the brakes on both pair of wheels. Model the digger as one rigid body. Assume g=10 m/s². Provide all handwritten steps of your solution; include diagrams and coordinate systems. a, Find the acceleration of the loader, which does not have loading in the bucket. Justify your assumptions and check for consistency within your solution. Include a free-body diagram in your working. 5. Now, the scenario changes. The loader has soil in the bucket with the mass 210 kg at G2, which is assumed to be a point mass. Determine the new centre of gravity and the associated mass moment of inertia for the loader with the soil. The radius of gyration of the loader without soil is k=0.4 m. Show that the loader is still sliding without tipping over. Include a free-body diagram your working.

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter7: Dry Friction
Section: Chapter Questions
Problem 7.57P: The square-threaded screw with a pitch of 10 mm and a mean radius of 18 mm drives a gear that has a...
icon
Related questions
Question
1.25 m
E
0.3 m
30°
0.25 m
G
0.5 m
0.25 m
B
0.15 m
- 0.75 m
1.5 m
Figure 3
The loader has a mass of 1.18 metric ton, and its centre of mass is at G1. The loader
is sliding down on a muddy incline of angle 0 =20°. The kinetic friction coefficient is
ux =0.15 and the driver uses the brakes on both pair of wheels. Model the digger as
one rigid body. Assume g=10 m/s?.
Provide all handwritten steps of your solution; include diagrams and coordinate
systems.
a, Find the acceleration of the loader, which does not have loading in the bucket.
Justify your assumptions and check for consistency within your solution. Include a
free-body diagram in your working.
5. Now, the scenario changes. The loader has soil in the bucket with the mass
210 kg at G2, which is assumed to be a point mass. Determine the new centre of
gravity and the associated mass moment of inertia for the loader with the soil. The
radius of gyration of the loader without soil is k=0.4 m. Show that the loader is still
sliding without tipping over. Include a free-body diagram in your working.
Transcribed Image Text:1.25 m E 0.3 m 30° 0.25 m G 0.5 m 0.25 m B 0.15 m - 0.75 m 1.5 m Figure 3 The loader has a mass of 1.18 metric ton, and its centre of mass is at G1. The loader is sliding down on a muddy incline of angle 0 =20°. The kinetic friction coefficient is ux =0.15 and the driver uses the brakes on both pair of wheels. Model the digger as one rigid body. Assume g=10 m/s?. Provide all handwritten steps of your solution; include diagrams and coordinate systems. a, Find the acceleration of the loader, which does not have loading in the bucket. Justify your assumptions and check for consistency within your solution. Include a free-body diagram in your working. 5. Now, the scenario changes. The loader has soil in the bucket with the mass 210 kg at G2, which is assumed to be a point mass. Determine the new centre of gravity and the associated mass moment of inertia for the loader with the soil. The radius of gyration of the loader without soil is k=0.4 m. Show that the loader is still sliding without tipping over. Include a free-body diagram in your working.
Expert Solution
steps

Step by step

Solved in 4 steps with 7 images

Blurred answer
Knowledge Booster
Basic Terminology in Mechanics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
International Edition---engineering Mechanics: St…
International Edition---engineering Mechanics: St…
Mechanical Engineering
ISBN:
9781305501607
Author:
Andrew Pytel And Jaan Kiusalaas
Publisher:
CENGAGE L