Final exam: Determine the moment of inertia of the beam's cross-sectional area about the y axis 5mm mm 100 mm 5 mm 30 75 mm -75 mm 30 mm mm 100 mm 25 mm
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- A thin rod of length L = 5 m and mass m has a linear density A(x) = Ax³ where x is the distance from the rod's left end. X(x) has units of kg/m and A = 6.38 with appropriate units that can't be displayed nicely due to Canvas limitations. Calculate the rod's moment of inertia I about an axis through x = 0 and perpendicular to the rod's length. (Hint: Evaluate the integral I = fr² dm where r = x is the distance from the axis to each element of mass dm = X(x) dx . Note: The rod's total mass mass m isn't needed but, if you would like to know it, you can find it by evaluating the integral m = f dm = f(x) dx.) I= kg m²Let E be the solid below z = 50 - x² y² and above the square [-5,5] × [-5,5] Given the solid has a constant density of 3, find the moment of inertia of E about the z-axis. 125 XThe uniform slender rod has a mass m. If it is released from rest when 0 = 0 determine the angular acceleration of the slender when 0= 90°. L A B Hint: Mass moment of inertia for a slender beam with respect to axis through its center of gravity: T = ML² Where M is the mass of slendel and Lis the length of slender. MacBook Air 888 FA F2 & $. 4 %23 delete 7 8 9 2 3 P Y R W K F G D N M B V command ption ソ
- The 29-N force P is applied perpendicular to the portion BC of the bent bar. Determine the moment of P about point B and about point A. Moments are positive if counterclockwise, negative if clockwise. Ariswers: M₂- i MA-1 P = 29 N 1.2 m B 47° 1.2 m N-m N-mThe axis of rotation of a thin plate is located at the left side, as shown in the figure. Calculate the moment of inertia I if the plate has a length L of 7.00 cm, a width W of 5.00 cm, and a uniform mass density of 3.25 g/cm2.A thin spherical shell has a radius of 0.90 m. An applied torque of 920 N m imparts to the shell an angular acceleration equal to 4.70 rad/s2 about an axis through the center of the shell. What is the rotational inertia of the shell about the axis of rotation? Calculate the mass of the shell.
- Determine the moment of inertia about the x axisDetermine the moment of inertia about the x-axis of each of the areas shown in Figure P9–1. (Hey whatsup, Could you please help me with this solution,I appreciate it)The outstretched hands and arms of a figure skater preparing for a spin can be considered a slender rod pivoting about an axis through its center (Figure 1). When his hands and arms are brought in and wrapped around his body to execute the spin, the hands and arms can be considered a thin-walled hollow cylinder. His hands and arms have a combined mass 8.0 kg. When outstretched, they span 1.6 m ; when wrapped, they form a thin-walled hollow cylinder of radius 26 cm. The moment of inertia about the rotation axis of the remainder of his body is constant and equal to 0.4 kg⋅m2. If his original angular speed is 0.30 rev/s, what is his final angular speed?
- The force F=12i - 8j+ 6k N is applied to the gripper of the holding device shown. Determine the moment of F about (a) the a-axis; and (b) the z-axis. F 480 mm 400 mm- 160 mm 120 mmIf a car tire with a moment of inertia of 4 kg*m² has an initial angular speed of 8 rad/s and then it experiences a net-work of 50 J, what is the final angular speed? O 12.28 rad/sec O9.43 rad/sec O 0.56 rad/sec O 6.24 rad/secDuring a steady right turn, a person exerts the forces shown on the steering wheel. Note that each force consists of a tangential component and a radially-inward component. Determine the moment exerted about the steering column at O. The moment will be positive if counterclockwise, negative if clockwise. 9.4 N 28 17° 17⁰ Answer: M = 430 mm i 28° 9.4 N B N-m