The following “small angle” approximation for the sine is used in many engineering applications to obtain a simpler model that is easier to understand and analyze. This approximation states that
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System Dynamics
- The correct definition of Dimensional Analysis is: A procedure to find the yield point of a material when no definitive yield point can be determined graphically. A procedure to calculate the Elastic Modulus. A procedure to verify the size of a mass of material. A methodical process of converting from one set of units to another set of units. Match the following statements with the term that best describes each statement. (Enter Number ONLY) 1) Hooke’s Law 2) Creep 3) Impact Strength 4) Proportional Limit 5) Fatigue 6) Elastic The tendency of a solid material to move slowly or deform permanently under the influence of mechanical stresses below the yield strength of the material. The behavior of materials that deform when loaded but return to their original shape after the load is removed. The linear relationship between stress and strain in the elastic region below the proportional limit. The phenomenon where cracks propagate under loads…arrow_forwardWhich of the following is/are true of the relationship between rotational and linear motion? s = r*9 angular velocity, w, is a vector angular acceleration, a, is a vector. all options a-c are correct only options a-b are correct 2. Which of the following are true of vector math? a) The dot product between a vector and itself gives you 0. b) The dot product between a vector and an exact same vector in the opposite direction gives you -1 . c) the cross product of a vector with itself gives you 1. d) the cross product of a vector with the same vector but in the opposite direction gives you -1 . 3. Which of the following statements are true of tangential and centripetal acceleration? a) centripetal acceleration can sometimes act in a direction that is away from the center of rotation b) centripetal acceleration and tangential acceleration are co-dependent on each other c) the cross product of centripetal and tangential acceleration is 0 d) centripetal and…arrow_forwardCalculate, in degrees Rankine, the temperature interval of 73.6°C. Use two decimal places in your answerarrow_forward
- Suppose you make the following sequence of measurements for the segments in laying out a compressed air line: 4.61 m 211 m 0.500 m What should be the reported total length of the air line? options: 216.1 216.110 220 216.11 216arrow_forward3. Answer the question completely and write down the given, required and formula that had been used. Provide graph and accurate/comple solution. The value are: V- 1 X- 5 W- 7 Y- 6 Z- 8arrow_forwardThe linear displacement is also a product of average velocity and time. Select one: True Falsearrow_forward
- 1.The thickness of a gage block is measured five times using an instrument that has a resolution of 0.001 cm. The following measurements are obtained (in cm): 1.100, 1.110, 1.090, 1.095, and 1.105. The true gauge block thickness is known to be 1.050 cm. Use this information to answer the following questions: a. What errors or sources of measurement error can be identified in the example? (Hint: there are three). Identify each one as a random or systematic uncertainty. b. Estimate the magnitudes of each of these uncertainties. Wherever possible, estimate random uncertainties at a 95% probability/confidence level. c. Based on the uncertainties determined in part b, estimate the overall uncertainty of a measurement obtained by this instrument.arrow_forwardᴅᴇᴛᴇʀᴍɪɴᴇ ᴛʜᴇ ᴘᴏɪꜱꜱᴏɴ’ꜱ ʀᴀᴛɪᴏ ᴏꜰ ᴀ ᴍᴀᴛᴇʀɪᴀʟ ᴡʜᴏꜱᴇ ᴍᴏᴅᴜʟᴜꜱ ᴏꜰ ᴇʟᴀꜱᴛɪᴄɪᴛʏ ɪꜱ 200 ɢᴘᴀ ᴀɴᴅ ᴡʜᴏꜱᴇ ᴍᴏᴅᴜʟᴜꜱ ᴏꜰ ʀɪɢɪᴅɪᴛʏ ɪꜱ 80 ɢᴘᴀ. ᴀ) 0.22ʙ) 0.33ᴄ) 0.25ᴅ) 0.38arrow_forwardA fixed amount of ideal gas is kept in a container of fixed volume. The absolute pressure P, in pascals, of the gas is plotted as a function of its temperature T, in degrees Celsius. Which of the following are properties of a best fit curve to the data? Select two answers. a. Having a positive slope b. Passing through the origin c. Having zero pressure at a certain negative temperature d. Approaching zero pressure as temperature approaches infinityarrow_forward
- The 1st law of thermodynamics is ΔU = Q –W. Use this statement of the 1st law to show (mathematically) its equivalent statement: “Total energy of the universe is constant”. Here, the universe can be defined as: system + surroundings (everything but the system –everything outside the system). (Hint: this can be shown by two ways-you may either treat system and surroundings as two systems next to each other, or you may treat system + surroundings (universe) as one system.)arrow_forwardhi, where did u get this R value from. these are the values i havearrow_forwardFind F1 μN+200sin45°= F1sin45° (1) N = 200cos45°+F1cos45° (2)arrow_forward
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