A device consists of eight balls each of mass 0.7 kg attached to the ends of low-mass spokes oflength 1.4 m, so the radius of rotation of the balls is 0.7 m. The device is mounted in thevertical plane. The axle is held up by supports that are not shown, and the wheel is free torotate on the nearly frictionless axle. A lump of clay with mass 0.35 kg falls and sticks to one ofthe balls at the location shown, when the spoke attached to that ball is at 45 degrees to thehorizontal. Just before the impact the clay has a speed 5 m/s, and the wheel is rotatingcounterclockwise with angular speed 0.26 radians/s.Just before the impact, what is theangular momentum of the combined system of device plus clay about the center C? (Asusual, x is to the right, y is up, and z is out of the screen, toward you.)

Given Data Mass of ball is : mb=0.7 kg Length of spokes is : Ls=1.4 m Radius of ball is : rb=0.7 m…

Answered: A device consists of eight balls each…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

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8. The 20 kg uniform disk of radius r= 0.4 m is at rest on the incline (0 = 20°) when a constant force T= 200 N is applied as shown pulling the cord that is securely wrapped around the rim of the disk. If the coefficients of friction on the incline are u, = 0.3 and u, = 0.2, determine the friction force between the disk and the incline, the angular acceleration of the disk, and the acceleration at the mass center G. F (magnitude and direction) - T a (magnitude and direction) =. ac (magnitude and direction) = G
The wheel is attached to the spring. The mass of the wheel is m=20 kg. The radius of the wheel is 0.6m. The radius of gyration KG=0.4 m. The spring's unstretched length is Lo=1.0 m. The stiffness coefficient of the spring is k=2.0 N/m. The wheel is released from rest at the state 1 when the angle between the spring and the vertical direction is 0-30°. The wheel rolls without slipping and passes the position at the state 2 when the angle is 8=0°. The spring's length at the state 2 is L2=4 m. (kg-m²) (two (8) The mass moment of inertial about the mass center G is IG= decimal places) HILAI L₂ State 2 State 1
The wheel is attached to the spring. The mass of the wheel is m=20 kg. The radius of the wheel is 0.6m. The radius of gyration kG=0.4 m. The spring’s unstretched length is L0=1.0 m. The stiffness coefficient of the spring is k=2.0 N/m. The wheel is released from rest at the state 1 when the angle between the spring and the vertical direction is θ=30°. The wheel rolls without slipping and passes the position at the state 2 when the angle is θ=0°. The spring’s length at the state 2 is L2=4 m. Ignore the spring's mass. (5) At state 2, how long the spring is stretched from its unstretched state (length difference):________(m) (two decimal places) (6) The elastic potential energy of the spring at the state 2 is_______(N·m) (two decimal places) (7) The instantaneous center of zero velocity (IC) of the wheel at state 1 is (8) The mass moment of inertial of the wheel about its mass center G is IG =_________(kg·m2 ) (two decimal places) (9) The mass moment of inertial of the wheel about its…
The wheel is attached to the spring. The mass of the wheel is m=20 kg. The radius of the wheel is 0.6m. The radius of gyration kG=0.4 m. The spring’s unstretched length is L0=1.0 m. The stiffness coefficient of the spring is k=2.0 N/m. The wheel is released from rest at the state 1 when the angle between the spring and the vertical direction is θ=30°. The wheel rolls without slipping and passes the position at the state 2 when the angle is θ=0°. The spring’s length at the state 2 is L2=4 m. (1) If the mass center G is set as the origin (datum), the gravitational potential energy at the state 1 is___ (two decimal places) (2) If the mass center G is set as the origin (datum), the gravitational potential energy at the state 2 is___ (two decimal places) (3) The stretched spring length of the spring at the state 1 is________(m) (two decimal places) (4) The elastic potential energy at the potion 1 is_______(N·m) (two decimal places) (5) The stretched spring length of the spring at the…
The solid homogeneous cylinder shown has a mass of 30 kg and is rotating at 1200 rpm clockwise about a fixed horizontal axis through O. The coefficient of kinetic friction between the brake and the cylinder is 0.20. If the tension in the spring when the brake is applied is 100 N, determine the time required for the cylinder to stop rotating. Neglect the thickness of the vertical members. (Draw FBD)
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Q4) Determine whether the 90-kg man can move the uniform box has a mass 140-kg and show if the box will slip or tip. If the coefficient of static fraction between man' shoes and the floor is 0.5 and between the box and the floor is 0.2. Assume the man only exerts a horizontal force on the box.
The wheel is attached to the spring. The mass of the wheel is m=20 kg. The radius of the wheel is 0.6m. The radius of gyration kG=0.4 m. The spring’s unstretched length is L0=1.0 m. The stiffness coefficient of the spring is k=2.0 N/m. The wheel is released from rest at the state 1 when the angle between the spring and the vertical direction is θ=30°. The wheel rolls without slipping and passes the position at the state 2 when the angle is θ=0°. The spring’s length at the state 2 is L2=4 m. Ignore the spring's mass. (5) At state 2, how long the spring is stretched from its unstretched state (length difference):________(m) (two decimal places) (6) The elastic potential energy of the spring at the state 2 is_______(N·m) (two decimal places) (7) The instantaneous center of zero velocity (IC) of the wheel at state 1 is (8) The mass moment of inertial of the wheel about its mass center G is IG =_________(kg·m2 ) (two decimal places)
5. The arms of a Porter governor are 300 mm long. The upper arms are pivoted on the axis of rotation and the lower arms are attached to the sleeve at a distance of 35 mm from the axis of rotation. The load on the sleeve is 54 kg and the mass of each ball is 7 kg. Determine the equilibrium speed when the radius of the balls is 225 mm. What will be the range of speed for this position, if the frictional resistances to the motion of the sleeve are equivalent to a force of 30 N? [Ans. 174.3 r.p.m. ; 8.5 r.p.m.]
HW8 The arms of a Porter governor are 310 mm long. The upper arms are pivoted on the axis of rotation. The lower arms are attached to a sleeve at a distance of 20 mm from the axis of rotation. The mass of the load on the sleeve is 95 kg and the mass of each ball is 10 kg. Determine the equilibrium speed when the radius of rotation of the balls is 220 mm. If the friction is equivalent to a load of 21 N at the sleeve, what will be the range of speed for this position and Sensitiveness of Governors?
A large symmetrical drum for drying sand is operated by the geared motor drive shown. If the mass of the sand is 750 kg and an average gear-tooth force of 2.65 kN is supplied by the motor pinion A to the drum gear normal to the contacting surfaces at B, calculate the average offset of the center of mass G of the sand from the vertical centerline. Neglect all friction in the supporting rollers. Assume r = 155 mm, R = 660 mm, 0 = 20° Detail of contact at B Answer: x = i B R →→→ G mm
The handcart has a mass of 215 kg and center of mass at G. A force P=1075 N that is applied to the handle to push the handcart along a rough horizontal surface (u-0.2). Neglect the mass of the wheels. tan(0)=4/3 0.5 m 0.2 m -0.3 m--0.2 m-- 0.4 m The handle cart acceleration (m/s) O a. 0.432 b. 0.24 O C.0.336 O d. 0.384 O e. 0.192

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