At T0 rod A and rod B have the same length L0. However, when they are...
At T0 rod A and rod B have the same length L0. However, when they are heated to a final temperature Tf, rod A is longer than rod B by an amount d. Derive an expression for the difference in the respective coefficients of linear expansion of the two rods, αA−αB.
Express your answer in terms of the variables T0, Tf, L0 and d.
Homework Answers
Coefficient of linear expansion of rod A, 
Coefficient of linear expansion of rod B, 
Given that, 
that is 
Difference coefficients of linear expansion of two rods is
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At T0 rod A and rod B have the same length L0. However, when
they are...
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ône rod is made from lead and another from quartz. The rods are heated and experience the same change in temperature. The change in length of each rod is the same. If the initial length of the lead rod is 0.17 m, what is the initial length of the quartz rod? (The coefficients of linear expansion for quartz and lead are aq- 5.00 x 107 (cy1 and a-2.90 x 10s (y1, respectively.) LQ SselectDGO Tutorla
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Two thin rods of length L lie along the x-axis, one between x=a/2 and x=a/2+L and...
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Can you please solve part a, b , c. d and e with explaining the concepts...
Can you please solve part a, b , c. d and e with
explaining the concepts and steps
2018 AP PHYSICS C: MECHANICS FREE-RESPONSE QUESTIONS λ-(2 )- none uniforme densi y 3. A triangular rod, shown above, has length L, mass M, and a nonuniform linear mass density given by the equation λ 2Af ー『x . where is the distance from one end of the rod. (a) Using integral calculus, show that the rotational inertia of the rod about itsleft...
A blob of putty of mass m moves with a speed 2v to the right, while...
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2. Consider a thin rod of length L = π (so that 0 x-7) with a...
2. Consider a thin rod of length L = π (so that 0 x-7) with a general internal source of heat, Q(a,t) Ot (10) subject to insulated boundary conditions The initial temperature of the bar is zero a(x, 0) = 0 (12) (a) (3pts) What is k in (10)? (b) (10pts) Assume a separable solution to the homogeneous version of the PDE and boundary conditions (10)-(11) of the form u(r, t)- o(x)G(t). Write down or find the eigenvalues λη and...
ône rod is made from lead and another from quartz. The rods are heated and experience the same change in temperature. The change in length of each rod is the same. If the initial length of the lead rod is 0.17 m, what is the initial length of the quartz rod? (The coefficients of linear expansion for quartz and lead are aq- 5.00 x 107 (cy1 and a-2.90 x 10s (y1, respectively.) LQ SselectDGO Tutorla
L- Pivot Point 13.) A uniform, thin rod of length L and mass M is allowed to pivot about its end, as shown in the figure above (a) Using integral calculus, derive the rotational inertia for the rod around its end to show that it is ML2/3 The rod is fixed at one end and allowed to fall from the horizontal position A through the vertical position B. (b) Derive an expression for the velocity of the free end of...
A thin rod of radius r, length 3L, and thermal conductivity, k is divided into three regions, each of length L. Regions 1 and 2 are surrounded by a perfectly insulating wall, while Region 3 protrudes into ambient air well-insulated. Uniform heat generation, q, occus only in Region 1 Sketch the temperature prolile along the entire length of the rod. For each region, specify why the temperature prolile has the shape you have decided on. Also, specify the nature of...
Can you please solve part a, b , c. d and e with
explaining the concepts and steps
2018 AP PHYSICS C: MECHANICS FREE-RESPONSE QUESTIONS λ-(2 )- none uniforme densi y 3. A triangular rod, shown above, has length L, mass M, and a nonuniform linear mass density given by the equation λ 2Af ー『x . where is the distance from one end of the rod. (a) Using integral calculus, show that the rotational inertia of the rod about itsleft...
A blob of putty of mass m moves with a speed 2v to the right, while a second blob of putty of the same mass m moves with a speed v to the left, as shown. Their paths are separated by a distance b. They both reach a thin rigid rod of length b and mass 2m at the same instant t-0, and stick to opposite ends of the rod. (Use standard definitions of a right- handed coordinate system with...
Problèm GIVEN b 2) Three rod elements shown above are stress free when they are assembled together and attached to the rigid walls A and D. Element (1) is steel with E1 30 x 103ksi, cross - sectional area Ai - 2.0 in, length L1-80 in and coefficient of thermal expansion α1=7x10-6/0F; the corresponding values for the aluminum element (2) are: E2 10 x 103ksi, A2-3.6 in, L,- 60 in, a2 13 x 10-6/oF; the corresponding values for the bronze...
2. Consider a thin rod of length L = π (so that 0 x-7) with a general internal source of heat, Q(a,t) Ot (10) subject to insulated boundary conditions The initial temperature of the bar is zero a(x, 0) = 0 (12) (a) (3pts) What is k in (10)? (b) (10pts) Assume a separable solution to the homogeneous version of the PDE and boundary conditions (10)-(11) of the form u(r, t)- o(x)G(t). Write down or find the eigenvalues λη and...
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