A uniform stone block of mass M with a L height of 2L and a width of L is being pushed with a force equal to twice the 2Mg weight at its top right corner, when it just 2L starts to tip about its lower left corner. Note that the corner does not slide. a. Draw an extended free body diagram аxis of showing where the forces act on the block. Remember the weight acts at the rotation center of mass. b. What is the torque due to the pushing force about the axis of rotation at the lower left corner shown? Assume the box is just starting to tilt so it is essentially upright. Take counterclockwise (CCW) as positive. Hint: In this case, the easiest way to find the torque is to use the lever arm.

A uniform stone block of mass M with a L height of 2L and a width of L is being pushed with a force equal to twice the 2Mg weight at its top right corner, when it just 2L starts to tip about its lower left corner. Note that the corner does not slide. a. Draw an extended free body diagram аxis of showing where the forces act on the block. Remember the weight acts at the rotation center of mass. b. What is the torque due to the pushing force about the axis of rotation at the lower left corner shown? Assume the box is just starting to tilt so it is essentially upright. Take counterclockwise (CCW) as positive. Hint: In this case, the easiest way to find the torque is to use the lever arm.

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)...

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Debye Theory of Solids

In solid-state physics, debye theory is used to estimate the phonons contributing to the specific heat capacity in a solid. It explains that the specific heat is a consequence of the vibrations of the atomic lattice of the solid, which is in contrast to the Einstein model. In the Einstein model, solids are treated as independent, non-interacting quantum harmonic oscillators. This model clearly explains the low-temperature dependence of the heat capacity, which is proportional to T3. This is known as Debye T3 law.

Question

4. A uniform stone block of mass M with a
L
height of 2L and a width of L is being
pushed with a force equal to twice the
2Mg
weight at its top right corner, when it just
2L
starts to tip about its lower left corner.
Note that the corner does not slide.
a. Draw an extended free body diagram
showing where the forces act on the
block. Remember the weight acts at the
axis of
rotation
center of mass.
b. What is the torque due to the pushing force about the axis of rotation at the lower left corner shown? Assume
the box is just starting to tilt so it is essentially upright. Take counterclockwise (cCW) as positive. Hint: In this
case, the easiest way to find the torque is to use the lever arm.
c. What is the torque due to the weight about the axis shown?
d. What is the torque due to the friction force and normal force about the axis of rotation shown?
e. The moment of inertia of a rectangle about an axis through a corner edge is I = M(W² + H²)/3 where W is
the width and H is the height. What is the moment of inertia of the block?
f. Determine the angular acceleration of the block.

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