Questions tagged [homework]
The homework tag has no usage guidance.
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Equilibrium equations of a rigid body in contact with elastic body
Consider a structure comprising an elastic deformable body (in pink) attached to a rigid body (in yellow) at the right side ( $\Gamma_c$ interface) and fixed at the left side.
Assume a force $F$ is ...
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Can I calculate differential settlement of sand using its compression index?
This is for an undergraduate lab report. I have been asked to calculate differential settlement of a sand layer based on the results of oedometer tests, but I’m not sure how to get there from the ...
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How to find the image of an object in case of a tilted spherical mirror?
Problem
A lens is used to obtain real image of a point(/small object) at $(75,0)$. This acts as the virtual object for a convex mirror of radius of curvature $100cm$ placed at $(50,0)$ tilted at $30°$ ...
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I was solving fluctuating load problems and the word "static" confused me
Here's a snippet of the question that was asked a couple of years ago in university exam:
A cantilever beam made of cold rolled steel for which ultimate tensile strength =540 MPa and Yield tensile ...
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Can't find correct reaction loads for statically indeterminate problem
been working on this problem all day and I feel as if I am going crazy. I am using SkyCiv to confirm the right answer and cannot get close to it, I have messed up both my attempts at superimposing and ...
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How to calculate internal convection loss in a sealed container?
Say I have a box with a 1m x 1m x 1m interior wall dimension.
The side walls and the floor are 10cm of styrofoam, with a thermal conductivity of 0.03 W/m K.
The top is 1cm thick opaque plastic with ...
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How do I derive the expression of boundary work in relation to a polytropic index?
I don't understand how to derive the formula,
How do I derive the expression of boundary work in relation to a polytropic index?
I used the Definition of boundary work for a polytropic index, the ...
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Energy conservation on SHM in springs
In the above spring block arrangements, the time period is asked for $K_1=2K$ left spring and $K_2=K$ right spring.
Now at equilibrium,
$$T=K_2x=Kx=mg$$
$$2T=K_1y=2Ky=2mg \implies x=y$$ for movable ...
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Hydrographic Survey Problem
I have been trying, but I can't figure out how I should solve this using the area velocity method. It is the only method as our professor taught us.
Any help would be appreciated.
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Cooling steel by putting it in water ; what is the final temperature
Below is a problem I made up and did. I am hoping that you will tell me that my solution is right.
Problem:
A $5$g piece of steel at $30$°C is placed in $400$ ml of water at
$20$°C. Assume that all ...
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How to draw a isometric view of the block in the picture below?
Can anyone give me some guidance with this question? I'm finding it a bit difficult.How is the object suppose to look like?
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How do I draw a circuit for a conducting loop inside a solenoid?
To solve a homework problem, I need to redraw the following diagram in circuit form.
The large blue circle represents the solenoid. Inside the solenoid, the two gray semicircles represent a wire loop,...
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Impact of decreasing weight from a part of body w.r.t tipping
If I decrease the weight from top portion of the body keeping all dimensions same, the center of mass shifts downwards, but does it makes it more stable against tipping from perpendicular forces ?
...
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Conical pulley system and transmission ratio (closed)
I tried asking this on other SE forum but i think this is the correct one:
Basically our teacher has sent us quite a lot of exercises but I can't get past this one which says: a pulley cone consists ...
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Derivation of deformation equation given thermal expansion
I'm working on a thermal expansion problem out of Beer & Johnston's Mechanics of Materials and I'm a bit confused by the underlying rationale of one of the steps in the solution process.
In the ...
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Calculating two diagonal forces
When I tried to calculate the force exerted on the rope 'a' I get that it is equal to 5N when the block has a force of 10N. Do I instead need to divide by 30 since the sum of the two angles is 30 ...
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Continuity / conservation of mass
Two different incompressible fluids a and b flow into a chamber through two circular ports of area 0.1 and 0.2 m2 respectively.
Fluid a is of density 1,200 kgm−3 and flows directly into the chamber ...
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Vector homework problem [closed]
This is a question from Engineering Mechanics by Shames. I am unable to resolve this as the question mentioned.
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Dimensions of the wooden post
This question is regarding the following problem from Bending stresses in beams
Problem:
My solution and hence the answer doesn't match with the answer in the textbook.
My Solution: The planks A will ...
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How is the wire in this problem in pure bending?
Problem:
A beam is said to be in pure bending if the bending moment in it remains constant throughout the length.
The problem asks to determine the bending moment in the wire. In the solution of the ...
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A problem on beams
Problem -
I have interpreted "by hinging them together at B" as following -
Now if this is the case, then applying a load on the right beam will have no effect, in my understanding, on ...
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Definition of Bandwidth as angular frequency
I am searching for a Formal Definition of bandwidth given the transfer function of a system, or the bode plot.
Is it the frequency $\omega_b$ in which
$$20log|H(j\omega_b)| = -3\text{dB}$$
or
$$20log|...
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I am struggling to get the right answer regarding the quantification of entropy
1 kg of air in a piston-cylinder apparatus can exchange heat only with a reservoir maintained at 300 K.
When 10 kJ of work is done on the air, its state is asserted to change from 1 bar 300 K to 2.5 ...
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A problem from Damped free Vibrations
Problem:
I can understand the problem physically that the block is pulled by some amount X so that its displacement at t=0 is X. It is then released from that position so that its velocity at t=0 is ...
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how far can two spinning wheels send a tennis ball [closed]
so lets say i have two spinning wheels above each other separated by a distance 'x' and I send a tennis ball between them- how do I find the distance the ball would go?
using Kinetic energy= ...
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How to determine the dynamic response of a spring-mass system?
The Problem
I have the following system for which I would like to determine its dynamic response, taken from these lecture notes pg.20:
where the forcing functions are $u_1 = 1-U(t - t_0)$, $u_2=0$, ...
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Filler material effect on metal
Okay, my teacher said that if a filler material is added to metal it is possible with increasing filler content to observer:
Yield strength increase,
Young modulus decrease,
Resilience and elongation ...
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How to Find the Magnitude of Force and Direction
Give me some tips on how I can find the magnitude of $F_3$. The hint maybe is the angle of inclination of w axis such that the force components are equal along that axis, my instructor once told me. ...
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how do i formulate a kalman filter for an upwash coefficient?
I want to make a kalman filter that will estimate the upwash coefficient $C_{\alpha_{up}}$
my state vector: $ X_k=[u \ v \ w \ C_{\alpha_{up}} ]^T $
My measurement vector: $ Z_k =[\alpha_m \ \beta_m ...
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Maximum induced bending stress within the beam
The Maximum induced bending stress within the beam.
Given that:
$$\frac{My}{I}$$
The beam depth is 300mm, the width is 150mm. The beam is an I section beam with a 5mm wall thickness.
My ...
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Calculating Entropy from Gibbs Free Energy?
I guess Cp = dH/dT= dq/dT=dS
Thus SdT = integral of CpdT.
From that ∆H is given and we can calculate ∆G.
However, entropy for this reaction should be -7.4J/molK and I am getting like 26J/molK.
Also S ...
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2D- Truss Member Analysis
I am a graduate student trying to sharpen the direct stiffness method skills. However, I am stuck at the beginning.
The problem is given in the image.
Can someone help me to write down all the nodal ...
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What are the conditions for a signal to be an energy signal and a power signal?
I know how to find the power and the energy of a signal. What I have a problem with is knowing whether a signal is an energy signal or a power signal.
According to my teacher, a signal is a power ...
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