A weight of 500 kg is being lifted up at a uniform speed of 1.5 m/s by a winch driven by a motor running at a speed of 1000 rpm. The moments of inertia of the motor and winch are 0.3 and 0.3 kg-m respectively. In the absence of the weight, the motor develops a torque of 100 Nm at a speed of 1000 r/min. Calculate the motor torque and the equivalent moment of inertia referred to the motor shaft

Q: A flywheel with a radius of gyration 0.9 m is fitted to a multi cylinder engine, which runs at a…

A: Given data:

Q: The following drive system is used to raise a load at constant velocity. The motor rotational speed…

A: (1) Moment of inertia of drum about the output axis, Therefore, Mass of drum is 24 kg. Distance…

Q: The pictured disk which weighs 20 lbs. and contacts an inclined surface (this inclined surface is…

A:

Q: The rope shown in the figure below is wound around a cylinder of mass 4.0 kg and I = 0.020 kg m2,…

A:

Q: A dancer is spinning at 72 rpm about an axis through her center with her arms outstretched, as shown…

A: Therefore,  The value of moment of moment of inertia would be 1.212 kg.m2.

Q: The turning-moment diagram for an engine, which has been drawn to scales of 1 mm to 50 Nm and I mm…

A:

Q: Derive the equations of motion of the block of mass m1 in terms of its displacement x.  Surface…

A: Given, a block of mass m1, Mass of the cylinder is m2, Radius of the cylinder is R, Distance between…

Q: A ring with moment of inertia mr2 and a sphere with moment of inertia 2/5mr2 have the same mass and…

A: Given, Moment of inertia of ring = Ir = mr2 Moment of inertia of sphere  = Is = (2/5) mr2   Let us…

Q: The 1-in thick disk shown below initially spins at 20 rpm about an axle held by a fork-ended…

A:

Q: Two masses, having mass moments of inertia J1 and J2, are placed on rotating rigid shafts that are…

A:

Q: A flywheel with a radius of gyration 0.9 m is fitted to a multi cylinder engine. It runs at 1000…

A:

Q: A machine of mass 100 kg with a rotating unbalance of 0.4 kg.m is placed at the midspa of a 2m long…

A: Given:mass of machine, m1=100 kgUnbalancing, moe=0.4 kg-mlength of beam, l=2 mspeed, N=1100…

Q: rider have a combined mass of 350kg. At another point in its journey, the motorcycle and rider…

A:

Q: Question #1: Find the total system kinetic energy for the weight and pulley system shown in the…

A:

Q: machine part has the shape of a solid uniform sphere of mass 220 gg and diameter 3.50 cmcm . It is…

A:

Q: A 250 mm radius brake drum is shown in Figure 3. The total mass moment of inertia of the brake drum…

A: Given, Radius of the wheel (R)=250mm Mass moment of inertia of the wheel (I)= 20kgm2 Coefficient of…

Q: Calculate the necessary rotational speed N for the aerial ride in an amusement park in order that…

A: Let us take, Mass of particle = m Tension in cable = T Centrifugal force = F Rotational speed = N…

Q: Q2. A flywheel weighing 50KN and having radius of gyration 1m looses speed from 400rpm to 280 rpm in…

A:

Q: 2. A press tool machine uses a flywheel in the form of a solid steel disc 0.7 m diameter and 0.1 m…

A: Given Data Diameter of flywheel, d=0.7 m Thickness of flywheel, t=0.1 m Speed of rotation of…

Q: Consider a “round” rigid body with moment of inertia I = BMR2, where M is the body’s mass, R is the…

A: Given data: Assume that body moves from its rest position by the angle “θ”. Then spring stretched…

Q: The ABCD structure illustrated on the left is used to stop the rotational movement of an inertia…

A: Given data, Static friction, μs=0.4 Kinetic friction, μk=0.3 Applied couple in the wheel, M = 300 Nm…

Q: Consider a "round" rigid body with moment of inertia I = BMR², where M is the body's mass, R is the…

A: Given moment of inertia of the rigid body is I=BMR2 and k is the spring constant. (a) The expression…

Q: Consider the system below. Calculate the kinetic energy of this system. Assume that pulley otates…

A: Drr

Q: ameter, the two shafts being parallel, 1 m apart, and the free parts of the belt considered raight.…

A: Solution is attached below:

Q: an engine with a mass of 500 kg is dropped onto the end of a weightless cantilever bridge with a…

A:

Q: What is the AVERAGE power input to the wheel during this time interval?

A:

Q: The mass moment of inertia of the two rotors in a two rotor system are 100 kg m² and 10 kg m². The…

A: As per given  Moment of inertia J1=100 kg m2                                 J2=10 kg m2 length of…

Q: Example 4: Four-wheeled trolley car of mass 2500 kg runs on rails, which are 1.5 m apart and travels…

A: Solution:- Given:- m=2500kg, x=1.5, R=30m⇒v=24km/hr=6.67m/s⇒Dω=0.75m &…

Q: A 50 N force is applied 50 cm from the axis of rotation of a rigid body.  The body starts from rest…

A:

Q: A circular disc of uniform thickness of 20 mm, radius of 200 mm and mass of 20 kg, is used as a…

A: Given data Mass =20 kg Radius =200 mm N=600 rpm We have to determine kinetic energy of the flywheel

Q: Q2) Draw the free-body diagram and derive the equation of motion using Newton s second law of motion…

A:

Q: Consider the 15 kg solid cylinder shown in Fig. 10.19, undergoing a rotational motion under the…

A: Given data,  A solid cylinder of mass m = 15 kg.  Let r be the radius,  A-A is the Central axis  So,…

Q: 6. Calculate the angular acceleration of a cylindrical drum mounted on a shaft through its…

A:

Q: A wheel with rotational inertia 48 kg.m2 is mounted on a fixed, frictionless axle. The angular speed…

A: A flywheel is a mechanical device that is used in heavy machines to control the fluctuation of…

Q: Now consider two very similar semi trucks. One travels at 40 km/hr and another travels at 75 km/hr.…

A: -considering equal masses ( similar trucks)

Q: A mass of 500 kg is being lifted at uniform speed of 1.5 m/s by a winch driven by a motor running at…

A: Write the given data:

Q: Gravitational acceleration g = 10 m/s² 1. A uniform thin rod of length 1m and mass mod = 20 Kg in…

A: Given data  length of rod (l) = 1 m  mass of rod (mrod) = 20 kg  radius of disc (r) = 10 cm = 0.1 m…

Q: Determine the load inertia referred to the motor shaft. (b) Calculate the torque that motor should…

A:

Q: A sphere of mass M and radius R is not necessarily solid or hollow. It has moment of inertia I=…

A: Consider a sphere of mass M and radius R is not necessarily solid or hollow. It has moment of…

Q: 20. A rope 4.0 m long is coiled around the axle of a wheel whose combined moment of inertia is 6 kg…

A: Givenlength of rope L=4minertia I=6 kgm2force F=50N

Q: Block String Rod Disk Mech 3. As shown above, a uniform disk is mounted to an axle and is free to…

A: Given data:

Q: A uniform disk of radius R and mass M is pivoted at point P and released at rest from the horizontal…

A: Radius of disk = R Mass of disk = M

Q: Two compound pendulums 01 and 02 are pivoted at a support and connected together through a…

A: Given Datam1=7.5kgm2=6kgk1=0.433mk2=0.3464mL1=1.5mL2=1.2mh1=0.75mh2=0.6ml=0.9mk=1600N/m

Q: Consider the system of two blocks shown in (Figure 1). There is no friction between block A and the…

A: We have to find mass of block A

Q: Example 2: An airplane makes a complete half circle of 50 m radius, towards left, when flying at 200…

A:

Q: A flywheel is fitted to a multi cylinder engine, which runs at a mean speed of 340 r.p.m. If the…

A: Given data:

Clutches, Brakes, Couplings, and Flywheels

The clutch is described as a machine element used to connect or disconnect two shafts together to transmit torque or power. The clutch works on the principles of friction. The clutch is commonly used in automobiles to transfer power from the driving shaft to the driven shaft.