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Applied Mechanics

A solid shaft 125mm did transmits 600kW at 300 revolutions/minute. It is also subjected to a bending moment of 9kN-m and to an end thrust. If the maximum principal stress is limited to 80MPa, determine the permissible end thrust. Also, determine the position in which the principal stress acts, and draw a diagram showing the p

Moving a Sliding Dresser

Sam is trying to move a dresser of mass m and dimensions of length L and height H by pushing it with a horizontal force F applied at a height h above the floor. The coefficient of kinetic friction between the dresser and the floor is k and g is the magnitude of the acceleration due to gravity. The ground exerts upward normal for

Wound Rotor Induction Motor Question

A 100 hp 60 Hz six pole 460 V three phase wound rotor induction motor develops a full-load torque at 1152 r/min with the rotor short-circuited. An external noninductive resistance of 1 Ohm is placed in series with each phase of the rotor, and the motor is observed to develop its rated torque at a speed of 1116 r/min. Calculate

Three-Phase Induction Motor

A three phase Y-connected 480 V (line to line) 30 hp 60 Hz four pole induction motor has the following equivalent circuit constants in Ohms-per-phase referred to the stator: R1=0.21 R2= 0.20 X1=1.2 X2=1.1 Xp=39 The total friction windage and core losses may be assumed constant at 1340 Watts. The motor is connected directl

Caculate Tension Problem / Incline Plane and Pulley Problem

Please see attachment. 1. A 70 kg painter standing on a long 5.5 m board which suspended from 2 vertical ropes attaches to each end of the board. Board is 15 kg. If the painter stood 1.5 m from one end of the board what will be the tensions in ropes? 2. We have system with incline plane and pulley. Incline plane: angle

Velocity and Moment of Inertia

Help the military to launch aerial targets. The proposed device is based on an ancient engine of war - a trebuchet. As shown below, the trebuchet consists of a pipe, pinned at B, a bucket to hold the targets at C, and a counterweight at A. A motor attached to the pin at B will apply a constant torque to rotate the arm back from

Induction motor typical calculation.

A three-phase 230 V, 30 hp, 60 Hz, six-pole induction motor is operating with a shaft load that requires 21.3 kW to cross the air gap to the rotor. Rotor copper loss 1.05 kW, and mechanical and stray load losses are 300 W. Determine: a. shaft speed; b. mechanical power developed; c. developed torque; d. shaft torque; and,

Torque and center of mass

A person exerts a force of 38N on the end of a door 96cm wide. What is the magnitude of the torque if the force is exerted (a) perpendicular to the door and (b) at a 60.0° angle to the face of the door? *note: Please explain this in the simplest terms possible for me. Thank you so much :)

Bouyancy, Closed Vessels and Mass

A) See attachment: Metal part, 2, is attached by a thin cord from a floating wood block, 1. The wood block has a specific gravity(S.G.)=0.3 and dimensions of 50x50x10mm. The metal part has a volume of 6600mm^3. Find mass, m2, of metal part and the tension, T, in the cord. B) See attachment: The closed vessel has water of a

Feedback Control Systems: Systems Specifications

Find a second order model to achieve the following response to a step output disturbance of height 0.5. Minimum value 0.05 after 0.1s. Make a rough sketch of the bode magnitude plot and the step response. (Please see attachments for details.)

Physics: Rotational Dynamics

** Please see the attached file for the related illustration ** A constant horizontal force of 10 N is applied to a wheel of mass 11 kg and radius 0.70 m as shown in Fig. 12-31. The wheel rolls without slipping on the horizontal surface, and the acceleration of its center of mass is 0.55 m/s2. (a) What are the magnitude an

Moment of inertia: Force of fish on the line; how much line unwinds?

A cylindrical fishing reel has a moment of inertia of I = 6.81à?10^-4 kg* m2 and a radius of 3.13 cm. A friction clutch in the reel exerts a restraining torque of 1.49 N*m if a fish pulls on the line. The fisherman gets a bite, and the reel begins to spin with an angular acceleration of 63.7 rad/s^2. 1) What is the force of

Hydraulic Circuit Diagram

The sketch attached shows a digger. Its overall mass is 5 tonnes. The extension of the arm is controlled by three cylinders, A, B and C. Cylinder A supports the arm from the chassis of the vehicle and cylinder C is between the bucket and the main arm. Draw a hydraulic circuit diagram for the control of the three cylinders su

Regarding the approach to induction motor operation and how to solve the very simple problem being known some basic equations of power balance such as input power equation of IM (P=[(EV/X)sin(Angle E- Angle V)]

A 12 pole, 60 Hz synchronous machine has an internal rms voltage of 10 kV. Its internal synchronous reactance is 10 ohms. The machine is connected to a network with a terminal voltage of 11 kV rms. The phase angle difference between the internal and external voltages is 30 degrees (internal minus external). (a) Is this machi

Difficulty over a Problem of Friction about Sleeves

How can I solve this problem below: The asking problem: A safety device used by workers climbing ladders fixed to high structures consists of a rail attached to the ladder and a sleeve which may slide on the flange of the rail. A chain connects the worker's belt to the end of an eccentric cam which may rotate about an axle a

Find the maximum plane angles P, Q, S

A truck whose weight is W, has a wheelbase (distance between front and back wheels) B= 3.2 meters. On level ground the front wheels carry 65% of its weight. The center of gravity (c.g.) of the truck is distance d= .85 m above the ground and unknown horizontal distance x, behind the front wheels' contact with the ground. The coef

Calculate curb height a car can negotiate

A car is stopped with its front wheels resting against a curb when its driver starts the engine and tries to drive over the curb. Knowing that the radius of the wheels is 280 mm, that the coefficient of static friction between the tires and the pavement is 0.90, and that 60 percent of the weight of the car is distributed over it

Find torque exerted by the sea on a submerged submarines

See attached diagram. Three emergency escape hatches are on a submarine submerged in sea water whose density is D=1025 kg/m^3. Each hatch is rectangular, having width W= .85 m, length L= 1.2 m with its hinge of length W along one side. See attachment for orientation for Parts a, b, and c. PART a. The Deck Hatch is in

Physics Pulley system: relate accelerations to angular acceration of the disk

A disk of mass M and radius R unwinds from a tape wrapped around it. The tape passes over a frictionless pulley, and a mass m is suspended from the other end. Assume that the disk drops vertically. a) Relate the accelerations of m and the disk, a and A, respectively to the angular acceration of the disk. Ans clue- If A w

Physics: Calculate amount of torque required to keep a cylinder rotating

A cylinder of mass M and radius R is rotated in a uniform V grove (which looks like a rectangular block with an 45-45-90 degree triangular prism cut from the center- that the cylinder rotates in) The cylinder has a constant angular velocity w and a coefficient of friction u with each surface. What torque must be applied to the c

Physics Falling Stick: Torque, angular acceleration, vertical acceleration

A uniform stick of mass M and length l is suspended horizontally with end B on the edge of a table, and the other end, A is held by hand. Point A is suddenly released. At the instant after release: a) What is the torque about B? b) What is the angular acceleration about B? c) What is the vertical acceleration of the center

Torque - True Statement Situations

Shown below are seven situations where a student is holding a meter stick at the left end at various angles. A 1.0 kg mass is hung on the meter sticks at different locations. The meterstick is held stationary in all cases. All of the meter sticks are identical, but the distance along the meter stick at which the 1.0 kg mass is h

Modelling of a Controlled Cart on a Horizontal Pivoting Beam

Use Newtons Law to derive equations of motion for the system. This should be converted into transfer functions for input into MATLAB/SIMULINK. The system consists of a motorised trolley on a see-saw (see attached figure). The trolley motor is to be controlled and eventually the trolley must balance the beam. A potentiometer s

Mechanics Angular Acceleration Quantities

A uniform rigid disk of radius r and mass m rolls without slipping on a smooth horizontal surface. A constant force of magnitude P is applied to the rim of the disk at distance r above the horizontal surface and in the direction of motion. r,m,P are known. what is the angular acceleration in terms of known quantities, and wha