Homework Statement
The two-member frame (see picture attached) supports the 200-lb cylinder and 500
lb–ft couple moment. Determine the force of the roller at B on member
AC and the horizontal and vertical components of force which the pin at
C exerts on member CB and the pin at A exerts...
Homework Statement
For cable AD it is known that the magnitude is 14 kips, x-component has a value of -6.216, the direction angle in the z-direction is 83.63°, and Fy is less than zero. Find forces in Cartesian vector form, coordinates of point D if it lies on the x-z plane and point A is (0...
Homework Statement
If F_1 = 100N , F_2 = 120N and F_3 = 80N , determine the magnitude and coordinate direction angles of the resultant couple moment.
Homework Equations
M=Fd
M=r x F
MR=Ʃ(r x F)
The Attempt at a Solution
I found the couple moment for each force:
M1=F1d=100(0.2) or...
Homework Statement
The springs AB and BC have stiffness k and an unstretched length of l. Determine the
displacement d of the cord from the wall when a force F is applied to the cord. See Picture attached.
Given:
l = 3 m
k = 600 N/m
F = 200 N
Homework Equations
Fspring= ks
s=...
Homework Statement
a) Express each force as a Cartesian vector.
b) Determine the magnitude and coordinate direction angles of the resultant force acting on the hook.
See figured attached.
Homework Equations
The Attempt at a Solution
First I expressed F1 and F2 into its x, y...
Homework Statement
A mathematical model for temperature T as a function of depth y (in m) and time t (in days) is:
(T(y,t)-T0)/(Tsurf(t)-T0)=e^(-y2/4αt) (2)
where Tsurf(t) is the water temperature of the lake surface at time t, α is a property called the “eddy thermal diffusivity” and...
Homework Statement
The separation of layers is considered to occur at the thermocline, which is defined as the location of the steepest slope in the temperature gradient. Mathematically, this occurs at the inflection point – so the position of the thermocline can be found from the following...
Homework Statement
Lakes become stratified in temperature over the course of the year because of the way that heat transfer occurs. In the spring, the temperature of a lake as a function of depth is reasonably constant. During the summer, as heat enters the lake from solar radiation, the...
Homework Statement
A line of positive charge is formed into a semicircle of radius R = 40.0 cm. The charge per unit length along the semicircle is described by the expression λ = λ0 cos(θ). The total charge on the semicircle is 15.0 µC. The semi circle starts off at 0 and finishes at pi going...
Homework Statement
A cooking vessel on a slow burner contains 11.0 kg of water and an unknown mass of ice in equilibrium at 0°C at time t = 0. The temperature of the mixture is measured at various times. During the first 50.0 min, the mixture remains at 0°C. From 50.0 min to 60.0 min, the...
Homework Statement
The average thermal conductivity of the walls (including the windows) and roof of a house is 0.480 W/m · °C, and their average thickness is 24.7 cm. The house is heated with natural gas having a heat of combustion (that is, the energy provided per cubic meter of gas burned)...
Homework Statement
Oil is released from a submerged source at a constant flow of rate of Q=(0.1 m3)/s. Density of oil (p=870 kg/m3) is less than that of water and since oil is only sparingly soluble in water a slick will form on the water surface. Once its formed it will have a tendency to...
Homework Statement
Oil is released from a submerged source at a constant flow of rate of Q=(0.1 m3)/s. Density of oil (p=870 kg/m3) is less than that of water and since oil is only sparingly soluble in water a slick will form on the water surface. Once its formed it will have a tendency to...