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# Torques

### Stress Conditions, Etc.

A simple explanation of these solutions would be much appreciated. Could you also include any relevant comment along the way to help me understand your method and this subject better? Sketches are required. Can you also include Mohr's circle? Please find the questions in the attachment below. Hope you can help with this revis

### Tension weight

A 20.0 ft horizontal arm is uniform and weighs 50.0 lbs. Find the tension in the cable and the horizontal and vertical forces at the hinge for a load of 500 lbs located 5.00 ft from the right end as shown.

### Torque, Inertia, Acceleration, Velocity, and Kinetic Energy

A belt drives a pulley of radius 4.0 cm and negligible mass as shown. The pulley is attached to a larger, solid wheel of mass 60 kg and radius 30 cm that is initially at rest. The tension T1 in the belt is 150.0 N and the tension T2 is 50 N. What is the total, net torque on the pulley? What is the moment of inertia of the whe

### Rotational Dynamics and Tangential Acceleration

A meterstick pivoted about a horizontal axis through the 0 cm end is held in a horizontal position and let go. (a) What is the tangential acceleration of the 100 cm position? (b) Which position has a tangential acceleration equal to the acceleration due to gravity?

### Magnitude of the Tangential Force

What is the magnitude of the tangential force that must be applied to the rim of a 2.0 kg wheel that is disk shaped and that has a radius of 0.50 m in order to give the wheel an angular acceleration of 4.8 rad/s^2? (neglect friction)

### Rotational Dynamics and Net Torque

A 10 kg solid disk of radius 0.50 m is rotated about an axis through its center. If the disk accelerates from rest to an angular speed of 3.0 rad/s while rotating 2.0 revolutions, what net torque is required?

### Magnitude of Force Applied to a Wooden Board

A force is applied to the end of a 2ft long uniform board weighing 50lbs, in order to keep it horizontal, while it pushes against a wall at the left. If the angle the force makes with the board is 30 degrees, the magnitude of the applied force F is... a. 28.9lb b. 50lb c. 100lb d. 57.7 lb

### Output Horsepower and Efficiency

A fully loaded 440 V, three phase motor draws 12.4 A at 86% power factor (pf). Its speed is 1730 rpm and its torque output to a mechanical load is 29.1 lb-ft x 1.356 = 39.5 Nm. What is (a) the output horsepower and (b) the efficiency?

### Strength of Materials

1. A solid round steel shaft 3 1/2 inches in diameter transmits 100 HP at 200 RPM. Determine: a. Torsional stress in the outer fibers b. Angle of twist per foot of shaft c. Increase in stress at the outer fibers if the shaft is made hollow with a 1 1/2 inch bore. d. Stress at the inner fibers of the hollow shaft. e. Angle

### Calculating Output Voltages

A steel tube, 24mm OD and 20mm ID is used to create a torque sensor. Four gauges are fitted to the tube in a bridge configuration and the bridge is supplied from a 10V source. Gauge Factor = 2.125 Shear modulus for steel = 82GN/m^2 Young modulus for steel = 210 GN/m^2 Max shear strain = 1000x10^-6 What is the output vo

### Force Diagram, Tension and Torque Problem

A heavy pole, of mass M and length L, is freely hinged to a wall at the point O. A rope connects the other end of the pole, B, to a fixed point A on the wall above O. The system is in equilibrium, with the pole making an angle of &#952; with the horizontal, and the rope making an angle &#945; with the horizontal... (i)Draw a for

### Dynamics Problem - Torque, Acceleration, and Angular Velocity

An electric motor is running at 1200rpm when its power is cut off for 40 seconds, then turned back on. If the rotor weighs 60lb, has a radius of gyration of 8in, and experiences a power-on net torque of 100lb/in and power-off friction torque of 8lb/in, the rotational speed in rpm of the motor 2 seconds after the power is turned

### Dynamics Problem - Torque and Acceleration

A motor/hoist lifts a weight at B with the ideal pulley and rope system shown (*see attached). For the information given, the acceleration of B in ft/s[squared] is what? a. 9.2 b. 0.0 c. 4.6 9. 6.3 *Please see attachment for diagram and please show your work.

### Maximum Power Transmitted; Maximum Torsional Shear Stress

Leather belting 75mm wide is to be used to transmit power between two parallel shafts which run at the same speed. The pulleys are 0.6 m diameter. At slow speeds the tension in the slack side is half the tension in the driving side and the angle of lap on the pulley is 180 degrees. If the maximum load on the belting is not to ex

### Winding Drum of Lift

In the figure (attached), the winding drum of a lift is driven by an electric motor via a gearbox having a reduction ratio of 20:1. The direct inertia on the motor shaft is 0.05 kg m2 and that on the winding shaft is 20 kg m2. The drum, which has a diameter of 600 mm, moves a lift by means of a cable wound around it. If the li

### 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

### The inner hub of the wheel rests on the horizontal track.

The inner hub of the wheel rests on the horizontal track. If it does not slip at A, determine the speed of the 10-lb block in 2 s after the block is released from rest. The wheel has a weight of 30 lb and a radius of gyration kG = 1.30 ft. Neglect the mass of the pulley and cord. Please refer to the attachment for diagram.

### 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

### Static Friction and Minimum Angle

A homogeneous and uniform rod of length 10ft and weight 100lbs rests in the corner of a room as shown. The coefficient of static friction between the rod and floor is (Us=.4). There is no friction between the rod and the wall although there is a compression force. What is the minimum angle that the rod can make with the floor an

### 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 :)

### Friction Force (Spinning Disk)

The 3.20-kg, 38.0-cm diameter disk in the figure is spinning at 350 rpm. A. How much friction force must the brake apply to the rim to bring the disk to a halt in 2.40 seconds? *Please see attachment for diagram

### Spinning Disney Records

An unskilled DJ is chewing some very dense (to be later thought of as a point mass) Big League Chew while spinning records with his pals. The platen and record combined appear as a "solid cylinder or disk" with a diameter of 30cm and a mass of 700 grams. The DJ is working in some kids theme music (let us suppose Disney), and the

### 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.)

### Determining the magnitudes of forces and torque in a cylinder

Please solve the attached problem, showing your work, so that I can study the steps. A) torque - 8000 lb-in B) force - 133.33 lb The above torque and force calculations are from an Online TA that solved the problem, but didn' t show his/her work.