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9.1) Locate the center of mass of the machine component shown. The brass (p 8750 kg/m3)...
Determine the mass moment of inertia of the steel machine component shown with respect to the y-axis, knowing that the density of steel is 7800 kg/m3 .
Determine the mass moment of
inertia of the steel machine component shown with respect to the y-axis, knowing that the density of steel is 7800 kg/m3 .
Problem 6 (17 points) A rotating machine of mass M 125 Kg has an unbalanced mass m 0.25 Kg at a d...
Problem 6 (17 points) A rotating machine of mass M 125 Kg has an unbalanced mass m 0.25 Kg at a distance 08 m from the centre of rotation (The mass M includes the mass m) The operating speed is 15 Hz Suppose that this machine is mounted on an isolator as shown in the figure If the percent of mation transmitted (TR) to the body is 15 % , and the spring constant k 12 5 x 103 (a)...
The ABC bar has a mass of 20 kg with radius of rotation around its center mass C 150 mm. The bar is secured to the face...
The ABC bar has a mass of 20 kg with radius of
rotation around its center mass C 150 mm. The bar is secured to the
face of a uniform circular disk, which has a mass of 30 kg. If the
disk and the rod attached there to are released from rest in the
position shown. Calculate the maximum angular velocity of the disk
during movement. The disk rolls without sliding.
A CAFO 480 mm B 120
A CAFO 480...
A me=30-kg reel is mounted on top of a cart using a frictionless bearing at its...
A me=30-kg reel is mounted on top of a cart using a frictionless bearing at its shaft 0. The shaft is centered on the cart wheel base: H=400 mm, W=500 mm. The reel radius of gyration about the shaft through its mass center O is ko=250 mm. The cart's mass is me=40-kg with a center of gravity 80 mm above the base platform underneath 0. The cart rolls on idealized wheels whose dimensions are negligible. Starting from rest, the cable...
6. A flat plate is made of steel with mass density p= 7850 kg/m3. The thickness of the plate is 10 mm. Calculate the re...
6. A flat plate is made of steel with mass density p= 7850 kg/m3. The thickness of the plate is 10 mm. Calculate the reaction forces at the pin support A and the tension in the cable BC. y = 2x 2 m
As shown in Fig. 3, a homogenous disk of mass m = 3.5 kg rotates at...
As shown in Fig. 3, a homogenous disk of mass m = 3.5 kg rotates
at the constant rate ?1 = 15 rad/s with respect to arm ABC, which
is welded to a shaft DCE rotating at the constant rate ?2 = 8.5
rad/s. Determine (a) the angular momentum of the disc about point C
(b) the couple of body representing the dynamic reactions at
supports D and E and (c) the kinetic energy of the system. Both
angular momentum...
2. Water (p 1000 kg/m3) strikes a block as shown and is deflected 30. The mass...
2. Water (p 1000 kg/m3) strikes a block as shown and is deflected 30. The mass flow rate of the water is 2.5 kg/s. The water velocity V-10 m/s. The mass of the block is 2 kg. The coefficient of static friction between the block and the surface Vertical 30° Block Determine the horizontal and vertical forces (magnitude and direction) acting on the block by the water. Neglect the weight of the water Determine whether or not the block will...
QUESTION 27 020 The rotor of a steam turbine with mass 10.5 kg is mounted on steel shaft (E- 207 GPa). The shaft diameter is 49 mm and is 1.8 m long. The shaft is suppored at the two ends by the...
QUESTION 27 020 The rotor of a steam turbine with mass 10.5 kg is mounted on steel shaft (E- 207 GPa). The shaft diameter is 49 mm and is 1.8 m long. The shaft is suppored at the two ends by the bearings The turbine rotor has an eccentricity of 9.0 mm and operates at T200 rpm (754.0 rad/s). Determine the natural frequency of the system in rad/s Rotor Ο 214.279 rads 50985.64 rad o 45915.49 ad/s 484424 rad/s QUESTION...
The weight is used to turn the gear system shown below. Gear A has a mass...
The weight is used to turn the gear system shown below. Gear A has a mass of 15 kg and a radius of gyration of 100 mm about its center of mass. Gear B and Drum C have a combined mass of 25 kg and a radius of gyration about their mass center of 165 mm. If the system starts from rest, determine the speed of the 55-kg weight after it has been lowered 3 m, the angular velocity of...
The weight is used to turn the gear system shown below. Gear A has a mass...
The weight is used to turn the gear system shown below. Gear A has a mass of 15 kg and a radius of gyration of 100 mm about its center of mass. Gear B and Drum C have a combined mass of 25 kg and a radius of gyration about their mass center of 165 mm. If the system starts from rest, determine the speed of the 55-kg weight after it has been lowered 3 m, the angular velocity of...
Problem 6 (17 points) A rotating machine of mass M 125 Kg has an unbalanced mass m 0.25 Kg at a distance 08 m from the centre of rotation (The mass M includes the mass m) The operating speed is 15 Hz Suppose that this machine is mounted on an isolator as shown in the figure If the percent of mation transmitted (TR) to the body is 15 % , and the spring constant k 12 5 x 103 (a)...
The ABC bar has a mass of 20 kg with radius of
rotation around its center mass C 150 mm. The bar is secured to the
face of a uniform circular disk, which has a mass of 30 kg. If the
disk and the rod attached there to are released from rest in the
position shown. Calculate the maximum angular velocity of the disk
during movement. The disk rolls without sliding.
A CAFO 480 mm B 120
A CAFO 480...
A me=30-kg reel is mounted on top of a cart using a frictionless bearing at its shaft 0. The shaft is centered on the cart wheel base: H=400 mm, W=500 mm. The reel radius of gyration about the shaft through its mass center O is ko=250 mm. The cart's mass is me=40-kg with a center of gravity 80 mm above the base platform underneath 0. The cart rolls on idealized wheels whose dimensions are negligible. Starting from rest, the cable...
6. A flat plate is made of steel with mass density p= 7850 kg/m3. The thickness of the plate is 10 mm. Calculate the reaction forces at the pin support A and the tension in the cable BC. y = 2x 2 m
As shown in Fig. 3, a homogenous disk of mass m = 3.5 kg rotates
at the constant rate ?1 = 15 rad/s with respect to arm ABC, which
is welded to a shaft DCE rotating at the constant rate ?2 = 8.5
rad/s. Determine (a) the angular momentum of the disc about point C
(b) the couple of body representing the dynamic reactions at
supports D and E and (c) the kinetic energy of the system. Both
angular momentum...
2. Water (p 1000 kg/m3) strikes a block as shown and is deflected 30. The mass flow rate of the water is 2.5 kg/s. The water velocity V-10 m/s. The mass of the block is 2 kg. The coefficient of static friction between the block and the surface Vertical 30° Block Determine the horizontal and vertical forces (magnitude and direction) acting on the block by the water. Neglect the weight of the water Determine whether or not the block will...
QUESTION 27 020 The rotor of a steam turbine with mass 10.5 kg is mounted on steel shaft (E- 207 GPa). The shaft diameter is 49 mm and is 1.8 m long. The shaft is suppored at the two ends by the bearings The turbine rotor has an eccentricity of 9.0 mm and operates at T200 rpm (754.0 rad/s). Determine the natural frequency of the system in rad/s Rotor Ο 214.279 rads 50985.64 rad o 45915.49 ad/s 484424 rad/s QUESTION...
The weight is used to turn the gear system shown below. Gear A has a mass of 15 kg and a radius of gyration of 100 mm about its center of mass. Gear B and Drum C have a combined mass of 25 kg and a radius of gyration about their mass center of 165 mm. If the system starts from rest, determine the speed of the 55-kg weight after it has been lowered 3 m, the angular velocity of...
The weight is used to turn the gear system shown below. Gear A has a mass of 15 kg and a radius of gyration of 100 mm about its center of mass. Gear B and Drum C have a combined mass of 25 kg and a radius of gyration about their mass center of 165 mm. If the system starts from rest, determine the speed of the 55-kg weight after it has been lowered 3 m, the angular velocity of...
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