Thank you. Do you have any suggestions as to how one would approach the same problem, but going the other way? For example, evaluate: \sum ^{n}_{k=m+1} k^2. Thanks for your help
Homework Statement
Can someone please explain the following for me? \sum ^{n}_{k=m+1} k^2 = \sum ^{n}_{k=1} k^2 - \sum ^{m}_{k=1} k^2
The Attempt at a Solution
I have not done math in a long time, and for some reason this has me baffled. My textbook randomly does it, and does not...
Homework Statement
The Attempt at a Solution
2Fsin(theta)=45 N
Where F=ks=(75N/m)(s-1.2m).
Looking at the triangle, we can state that s, the stretched length is equal to 1.2m/cos(theta). Therefore,
2(75N/m)[(1.2m/cos(theta))-1.2m]sin(theta)=45 N...
Homework Statement
The Attempt at a Solution
I'm not entirely sure how to go about this question, and what to do with the maximum force that each cord can withstand. I tried setting up an equation, then taking a derivative to solve it for the maximum, but I bet there is an easier way...
The Attempt at a Solution
I'm attempting to solve a question with a few unknowns, and I managed to get it to the following form:
tanx(1-cosx)=0.25
I just cant seem to simplify it further and thus solve.. Any ideas?
Homework Statement
A vertical force P=10 N is applied to the ends of the 0.2 m cord AB and spring AC. If the spring has an unstretched length of 0.2 m. determine the angle theta for equilibrium. Take k = 150 N/m.
Homework Equations
Fspring=ks
Fy=0
Fx=0
The Attempt at a Solution...
Homework Equations
v=d/t
The Attempt at a Solution
VL=VR+2km/h
d=6km
tL1tR+4min
tL2=tR +2
VL= 6km / (2-4) = 3km/min which is OBVIOUSLY WRONG. I have tried numerous things for the past couple hours, but cant seem to figure it out/. Help?
90 degrees. So then the calculations would be correct, would they not? Since the center of the circle is below the metal block, we would just add 0.5 to to answer calculated from the triangle? ps thank u
ALright, just a quick question concerning this diagram. Since the 90 degree angle is directed along the middle ove the circle, does that mean if you draw a line from where the circle is touching the ninety degree angle to the centre of the circle, it would make a 45 degree angle with the...
Homework Statement
Suppose we have the following forces:
F1=[5i]kN
F2=[-4j]kN
F3= unknown force 30 degrees from + y-axis.
How do you determine the magnitude of F3 such that the resultant FR for all three forces is a minimum?
Thanks in advance.
Homework Statement
The half-life of radioactive carbon 14 is 5700 years. After a plant or animal dies, the level of carbon 14 decreases as the
adioactive carbon disintegrates. The decay of radioactive material is given by the relationship A = A0e^(-kt), where A0 is the initial amount of...
The three concurrent forces acting on the post produce a resultant force of 0. If F2 = 0.5F1, and F1 is to be 90 degrees from F2 as shown, determine the required magnitude F3 expressed in terms of F1 and the angle theta.
I am having no troubles finding the magnitude of F3, however, I am...
I have done so, but again I am getting entirely different answers. Perhaps someone can point me in the right director for vector allignment? I am assuming that its my arrangment of vectors that is corrupting my answer.
Homework Statement
A resultant vertical force of 1750 N is necessary to held the balloon in place. Resolve this force into components along the tether lines AB and AC, and compute the magnitde of each force.
The angle between AB and the vertical force is 40 deg, and the angle between AC...