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A simple pendulum is suspended from the ceiling of a car taking a turn of radius 10 m at a speed of 36 km/h. Find the angle made by he string of the pendulum with the vertical if this angle does not change during the turn. Take g = 10 m/s2.
A wheel is rotating at an angular speed of 5rads−1. A bead A is moving outward along a spoke with a velocity of 3ms−1 relative to the wheel. When the spoke makes an angle of θ=37∘ with the x axis, the distance of the bead from the centre (origin) is r=1m. Find the velocity of the bead relative to the ground at this instant in terms of unit vectors i^ and j^
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Moment of a Force About a Specified AxisPart ALearning Goal: To be able to calculate the force about a specified axis. When the moment of a force is computed about a point, the moment and its axis are always perpendicular to the plane that contains the force and the moment arm. In addition to scalar analysis, the magnitude of the moment of a force about a specified axis can be found using the triple scalar product.P51.38i + 0.00j + 4.00k lb is applied to the end of the wrench (Figure). What minimum length d must the wrench have to turn the bolt? Express numerically in inches to three significant figures.d = 10.1 inHints:Give UpReview PartCorrect:Lay the wrench on the bolt to rotate. The component of a moment of force that is perpendicular to the bolt will cause the bolt to bend to the side.M = u x FWhere u is the unit vector that describes the direction of the specified axis and r is the position vector to the point where the force is applied.Part B:Using the 10.1 in long wrench from Part A, the bolt has now been unscrewed a length of 2.70 in (Figure 2). The force of F = 1.31i + 8.00j + 4.00k lb is applied to the wrench at point B. What is the moment of force at point O about the x-axis?Answer: 25.6 lb-ftHints:My AnswersGive UpReview PartIncorrect; Try Again. 3 attempts remaining.Part C:This question is incomplete and requires further information.
Three identical blocks, A,B, and C, are on a horizontal frictionless between the other two blocks. If block C is pulled horizontally by a force of magnitude F=12.0N, find the tension in the string between blocks B and C.
GradebookORIONDownloadable eTextbookFULLSCREEN PRINTER VERSION BACKNEXTChapter 30, Problem 037A long solenoid has a diameter of 11.1 cm. When a current exists in its windings, a uniform magnetic field of magnitude B = 30.6 mT is produced in its interior. By decreasing the current, the field is caused to decrease at the rate of 45 mT/s. Calculate the magnitude of the induced electric field (a) 3.65 cm and (b) 7.69 cm from the axis of the solenoid.a) NumberUnitsVb) NumberUnitsJClick If you would like to Show Work for this questionOpen Show WorkQuestion Attempts: 0 of 5 usedSAVE FOR LATERSUBMIT ANSWER
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| Question Text | Wien's Displacement LawIn addition to the "distribution law" - which you have just plotted - Wien also determined a "displacement law" which describes the color of the peak in the blackbody spectrum according toλmax = b/T(1)Here b is some constant which we will determine.To determine the value of the constant b defined in equation (1) above, you should find that b = 0.2014hc/kB, or about 2.9 x 10^-3 m - K, a value known as Wien's constant.Hints: The derivative will be simpler if you just drop all of the leading constants that won't affect the answer. Further, I'd suggest writing your expression in terms of a substitute variable z = KBTA such that the exponential looks cleaner. Finally, to get a final answer you'll need to do a little bit of numerical work. One way to do this is to solve the equation graphically, something we did in Mathematica Lab #1. FindRoot[] will also work admirably. Either of these techniques can be done on Wolfram Alpha if you do not have Mathematica handy. |
| Topic | All topics |
| Subject | Physics |
| Class | Class 11 |
