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- A heavy crate needs to be moved. A crane can provide the force F at the mounting point shown. a.) Determine the moment about point A due to the force F. Enter your answer in Cartesian components with units of ft-lbs. Round to 3 significant digits. F = (100 i + 2453) lb A x α α Values for dimensions on the figure are given in the table below. R. Variable Value 39 in 35° a. MA = X F î+ k) ft-lbA 12-lb force P is applied to the control rod AB as shown. Knowing that the length of the rod is 5 in. and that a = 30°, determine the moment of the force about Point B by resolving the force into horizontal and vertical components in lb-in. Write the numerical value only and 2 decimal places. + for counterclockwise A Fa 65° P B 4Determine the mass moment of inertia of a Pyrex glass shaft that is 5 ft long and has a diameter of 6 in. Express your answer in lbm ft2, lbm in², and slugs ft2. (Assume the shaft rotates about an axis through its center and parallel to its length.) 2 in lbm ft² lbm. ft² in lbm - in² lbm. in² in slugs - ft² slugs . ft²
- a centrifuge accelerates at a constance angualr acceleration from rest to 11,000 revolution per minute in 25s. the sample spins at a radius of 0.15m. a. what is the final angular velocity of sample in rad/s? b. what is the angular accelertaion of the sample in rad/s^2? c. what is the tangential acceleration of the sample as the centrifuge spins up? d. what is the centripetal acceleration of the sample at full speed?A wine barrel has a radius of 30.0 cm.1A. If the edge of the barrel moves 210 cm, through what angle does the tire rotate?Note that s = rθ where s is the arc length and r is the radius s/r is in radians, π rad = 180 deg1.B If the barrel rotates through an angle of 0.35 radians, how far does a point on theedge of the barrel rotate? 1.C If a point 22 cm out from the center rotates along an arc length of 65 cm, throughwhat angle does the barrel rotate?Calculate the torque about the z-axis that is out of the page at the origin in the following figure, given that F,=3N, F2=2N, F3=3N, F4=1.8N. YA ... 30° 2 m 3 m 2 m F3 20 Round your answer to 2 decimal places. Add your answer
- A 150-gram ball connected to one end of a cord with a length of 30 cm. What is the moment of inertia of ball about the axis of rotation AB? Ignore cord’s mass. what is the magnitude of the moment of inertia about the axis of rotation? Write your answer on the blank provided.The wheel has radius R = 60 cm and is free to rotate without friction about a central axle. A force F = 15N is applied to the wheel as shown, at distance r = 20 cm. R from the axle. = 50° a. What is the magnitude of the torque corresponding to the force F, calculated about the axle? b. What is the direction of the torque vector? With the wheel starting from rest, this torque is applied constantly. After three revolutions, its final angular speed is wf = 8.0 s-1. What was its angular acceleration a? C. d. What is the moment of inertia of the wheel? e. Assuming the wheel to be a uniform solid disk, what is its mass? f. Bonus What is the final angular momentum of the wheel?A merry-go-round is a common piece of playground equipment. A 5 m diameter (that's diameter) merry-go-round rotates frictionlessly. It has a mass of 166 kg and is spinning at 22 rpm (that's revolutions/minute... you will want to convert to radians/sec). John runs tangent to the merry-go-round at 2.5 m/s in the same direction that it is turning. John's mass is 27 kg. He then jumps onto the MGR and sits halfway between the outer edge and the center. (A)What is the initial angular momentum, LJ, of John? (B)What is the total initial angular momentum of the system? (C)Use Conservation of Angular Momentum to find the final angular speed of the merry-go-round?
- A merry-go-round is a common piece of playground equipment. A 5 m diameter (that's diameter) merry-go-round rotates frictionlessly. It has a mass of 166 kg and is spinning at 22 rpm (that's revolutions/minute... you will want to convert to radians/sec). John runs tangent to the merry-go-round at 2.5 m/s in the same direction that it is turning. John's mass is 27 kg. He then jumps onto the MGR and sits halfway between the outer edge and the center. A)What is the rotational inertia of the merry-go-round (consider it a disk)? B)What is the initial rotational inertia of John (consider him a point mass). C)What is the initial angular momentum, Lmgr, of the merry-go-round? (D)What is the initial angular momentum, LJ, of John? (E)What is the total initial angular momentum of the system? (F)Use Conservation of Angular Momentum to find the final angular speed of the merry-go-round?A merry go round with a radius of 6.0 meters rotates at a speed of 8 revolutions per minute (rpm). 1. Calculate the angular speed in rad/s?2. Find the tangential velocity of the merry go round? 3. If the merry go round stops after one minute, what is its angular acceleration?A wheel makes 69.169.1 rotations during 5.59 s.5.59 s. What is the average angular velocity ?avωav in that time interval? Wav=? in rad/sec