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Take intregationFrom 2 to 5So di/dt= 2t^2/2+5tNow put limits you will get the ans

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Take integrationfrom 2 to 5so di/dt=2t^2/2+5tNow put limits you will get the answer.

shape of cross section

r=p l/a p=nature of the material l= length a= area of cross sectionResistance is directly proportional to the length of the material and the nature of the material but inversely proportional to the area of cross section.Resistance does not depend on the shape of cross section.These concepts are verified through the above equation.

F = mgsinθ - N

When the ball loses contact, the normal force (N) = 0

=> F = mgsinθ

Since the ball is moving in a circular path, F = mv² / R

mgsinθ = mv² / R

=> v² = Rgsinθ

From conservation of energy, you know that:

mgR = ½mv² + mgh

Rg = ½Rgsinθ + gh

h = R - ½Rsinθ

If you draw out a force diagram you'll see that sinθ = h / R

h = R - ½Rh / R

3h/2 = R

h = 2R/3

So it will lose contact (2/3)rd of the way up.

F = mgsinθ - N

When the ball loses contact, the normal force (N) = 0

=> F = mgsinθ

Since the ball is moving in a circular path, F = mv² / R

mgsinθ = mv² / R

=> v² = Rgsinθ

From conservation of energy, you know that:

mgR = ½mv² + mgh

Rg = ½Rgsinθ + gh

h = R - ½Rsinθ

If you draw out a force diagram you'll see that sinθ = h / R

h = R - ½Rh / R

3h/2 = R

h = 2R/3

So it will lose contact (2/3)rd of the way up.

F = mgsinθ - N

When the ball loses contact, the normal force (N) = 0

=> F = mgsinθ

Since the ball is moving in a circular path, F = mv² / R

mgsinθ = mv² / R

=> v² = Rgsinθ

From conservation of energy, you know that:

mgR = ½mv² + mgh

Rg = ½Rgsinθ + gh

h = R - ½Rsinθ

If you draw out a force diagram you'll see that sinθ = h / R

h = R - ½Rh / R

3h/2 = R

h = 2R/3

So it will lose contact (2/3)rd of the way up.

Limiting friction:

Limiting friction is the maximum value or limiting value of sliding friction available between two surfaces tending to slide over each other.

Rolling friction:

Rolling friction is an entirely different concept. It is the resistance to the rolling of a circular wheel on a plain surface.

Here, the initial angular velocity (ωi) = 210rpm = 210/60 i.e, 7/2rps.

So, for converting 7/2rpsto angular velocity, we need to make itθ.We know,θ = 2π x No. of rotations per second.

So, 2 x 22/7 x 7/2 =22

And the final angular velocity, (ωf) = 420rpm = 420/60 i.e, 7rps.

Similarly, this also has to be converted toθ.2 x 22/7 x 7 =44

Also, we have no. of rotations = 21; which also has to be converted to θi.e, 2 x 22/7 x 21 =132

So we have,(ωi) = 22,(ωf) = 44 andθ = 132.

we know,α =(ωf)^2 -(ωi)^2 / 2θ

So, we get, (44)^2 - (22)^2 / 132 x2 =5.5 rad/s2

Given r =.20

Frequency of fan v= 100/60 = 5/3 hertz

Angular velocity w = 2*pi*v= 2*3.14*5/3 = 10.46 rad per sec

Linear velocity = w*r= 10.46*.20= 2.092 m/s

SINCE 484J ENERGY IS SUPPLIED TO IT. THEN CHANGE IN ROTATIONAL KINETIC ENERGY IS EQUAL TO ENERGY SUPPLIED TO IT.SOLUTION: (1/2)IWF2 – (1/2)IWi2 = 484 (WHERE WF AND WI ARE INITIAL AND FINAL ANGULAR VELOCITIES)WI = 6 RAD/SWF = 37 RAD/SHENCE PUTTING THE VALUES(1/2)I(37*37)-(1/2)I(6*6)= 484684.5I-18I = 484HENCE MOMENT OF INERTIA= 0.72

Torque = Power / Angular velocity= 100 × 10³ Watt / (1800 × 2 π / 60 s)= 530.5 Nm

Torque in the engine is 530.5 Nm

if two vectors are perpendicular to each other.. then their dot product should be 0.

so, (2i+3j+8k)•(-4i+4j+ak) = 0=> -8+12+8a = 0=> 8a = -4 => a = -4/8 = -1/2.

option C

given that h=10m g=10 h= ut+ 1/2gt^210= u+1/2*10*110=u+5u=5m/s

please like this 😢

the answer is d) v=ubecause, the body reached the point from which it was projected here v=initial velocityand u=final velocityas per the questionv=u because the object has started from its final position and reached its initial positiontherefore distance covered by the object is equal from both the poimts

The magnitude of resultant forces are determined by;F =√F1² + F2² + F3²F =√3² + 4² + 12²F =√9 + 16 + 144F = 13 N

Is perpendicular to each other.

when a projectile is at its highest point, the direction of its velocity and acceleration are perpendicular to each other.

velocity is in horizontal direction and acceleration is in vertical downward direction

the magnitude of the resultant force is 19N

magnitude of resultant force= 3N+4N+12N=19N(all the magnitude of forces are added up because all are in positive and applied in the same direction)

Ans :- 1-The three phase induction motor is the mostwidelyused electrical motor. Almost 80% of the mechanical power used by industries is provided by three phase induction motors because of its simple and rugged construction, low cost, good operating characteristics, the absence of commutator and good speed regulation.

Ans :- 2-Just like any other motor, it consists of a stator and a rotor. The stator core is constructed with thinsiliconlamination and insulated by a surface coating, to minimize the eddy current and hysteresis losses.

single phaseinduction motorrequires separate starting circuitry to provide a rotating field to themotor. The normal running windings within such a single-phasemotorcan cause the rotor to turn in either direction, so the starting circuit determines the operating direction

is it for 4mrks

The main principle of a piezoelectric transducer is that a force, when applied on the quartz crystal, produces electric charges on the crystal surface. The charge thus produced can be called as piezoelectricity. Piezo electricity can be defined as the electrical polarization produced by mechanical strain on certain class of crystals. The rate of charge produced will be proportional to the rate of change of force applied as input. As the charge produced is very small, a charge amplifier is needed so as to produce an output voltage big enough to be measured. The device is also known to be mechanically stiff.

according to this questionwhen the two trains on the same track are approaching each otherthen40/2.0x 1000= 0.8 m/s² Ihope this will help you like me

D, option is correct answer

But in adc generator, the slip rings are replaced by the two split rings which perform the process of commutation. Commutation is the process ofconverting acpowerinto dcpower. The set of rotating split rings and the carbon brushes to which they are attached is called the commutator.

The answer is option D

option B is the answer.slip rings and brushes must be used

A ray of light which is incident normally on a mirror,is reflected along the same path i.e, the angle of incidence as well as the angle of reflection is zero.

Adiabatic Process. Anadiabatic processis one in which no heat is gained or lost by the system. The first law of thermodynamics with Q=0 shows that all the change in internal energy is in the form ofwork done.In theisothermalcompression of a gas there iswork doneon the system to decrease the volume and increase the pressure. Doingworkon the gas increases the internal energy and will tend to increase the temperature. To maintain the constant temperature energy must leave the system as heat and enter the environment.

please send diagram related to the question.

when the cylinde is kept on the source the gas exerts adiabatically at constant temperature

The first law of thermodynamics is a version of the law of conservation of energy, adapted for thermodynamic systems. The law of conservation of energy states that the total energy of an isolated system is constant; energy can be transformed from one form to another, but can be neither created nor destroyed.

Because they help in carrying these bags or luggage's only by pulling them.

A seismic wave is a wave that travels through the Earth, most often as the result of a tectonic earthquake, sometimes from an explosion.

Largefaultswithin the Earth's crust result from the action of plate tectonic forces, with the largest forming the boundaries between the plates, such as subductionzonesor transformfaults. Energy release associated with rapid movement on activefaultsis the cause of most earthquakes.

In anyDC motorthe speed depends inversely on the flux and directly proportional to emf, N ~E/flux.Motorarmature currentisdecided by theload.Onno loadthe armature current drawn by themotor willvery small. ... Thisisthe reason whyseries motor shouldnever be started on lightloadsorno loadconditions.

A motor is anelectrical machinewhich converts electrical energy into mechanical energy. Theprinciple of working of a DC motoris that "whenever a current carrying conductor is placed in a magnetic field, it experiences a mechanical force".The direction of this force is given byFleming's left hand ruleand it's magnitude is given by F = BIL. Where, B = magnetic flux density, I = current and L = length of the conductor within the magnetic field.

A motor is anelectrical machinewhich converts electrical energy into mechanical energy. Theprinciple of working of a DC motoris that "whenever a current carrying conductor is placed in a magnetic field, it experiences a mechanical force".The direction of this force is given byFleming's left hand ruleand it's magnitude is given by F = BIL. Where, B = magnetic flux density, I = current and L = length of the conductor within the magnetic field.

split ring in DC motor acts as commuttaor it reverses the direction of current