Ask Question, Ask an Expert

+1-415-315-9853

info@mywordsolution.com

Ask Mechanical Engineering Expert

1) (a) A bird flies in east direction with the speed of 5 ms−1. Wind is blowing towards north at a speed of 3 ms−1. Find out the relative velocity of the bird with respect to the wind. Draw suitable diagram for solving the problem.

(b) A plane is flying with the constant speed along a straight line at the angle of 30° with horizontal. The weight of plane is 80, 000 N and its engine provides a thrust of 100, 000 N in direction of flight. Two extra forces are exerted on the plane: the lift force perpendicular to the plane’s wings, and the force due to air resistance opposite to the direction of motion. Draw free-body diagram showing all forces on the plane. Find out the lift force and the force due to air resistance.

2) A bus is moving downhill at a slope of 5°on a rainy day. At the moment when speed of the bus is 30 km h−1, driver spots a deer 30 m ahead. He applies the brakes and comes to a stop. The deer is paralyzed by fear and does not move. Will the bus stop before reaching it or will it hit the deer? Do appropriate computations and draw suitable force diagram. Take coefficient of kinetic friction to be μk = 0.26.

3) Derive the expression relating impulse and linear momentum. In the safety test, a car of mass 1000 kg is driven into a brick wall. Its bumper behaves like a spring (k= 5×106Nm−1) and is compressed by a distance of 3 cm as the car comes to rest. Find out the initial speed of the car.

4) (a) Can we move a merry-go-round by applying the force along the radial direction? Describe.

(b) A circular disc rotates on the thin air film with a period of 0.3 s. Its moment of inertia about its axis of rotation is 0.06 kg m2. A small mass is dropped onto the disc and rotates with it. The moment of inertia of the mass about the axis of rotation is 0.04 kgm2. Find out the final period of the rotating disc and mass.

5) Obtain the expression for the time period of a satellite orbiting the earth. A space shuttle is in a circular orbit at a height of 250 km from the earth’s surface, where the acceleration due to earth’s gravity is 0.93g. Compute the period of its orbit. Take g= 9.8 ms−2 and the radius of the earth R= 6.37 × 106 m.

6. (a) State against each observation below whether it is true or false. Give reasons for your answer.

i) Angular momentum of an artificial satellite rotating about earth under its gravitation varies with time

ii) An alpha particle scattered from the atomic nucleus moves in a plane.

iii) An artificial satellite moves at greater speed when it is nearer the earth.

(b) When is the earth’s orbital motion around the sun fastest and when is it slowest? In which month of the year is the earth closest to the sun? Describe in not more than 50 words.

7) (a) Express the rotational kinetic energy of the earth in terms of its period of rotation. The moment of inertia of the earth about its spin axis is 8.04×1037kg m2. Compute its rotational kinetic energy.

(b) Assume you are designing a cart for carrying goods downhill. To maximize the cart speed, should you design the wheels so that their moments of inertia about their rotation axes are large or small, or it does not matter? Describe assuming that mechanical energy is conserved.

8)(a) The differential cross-section of a collision process in center-of-mass frame of reference is given by dσ/dΩ=Ar2 sin2θ. What is the total cross-section in the laboratory frame of reference?

(b) Describe how alpha particle scattering experiment provides an estimate of the dimensions of an atomic nucleus.

9)(a) A bird of mass 1 kg is flying due south at the latitude of 30°N in the northern hemisphere at a speed of 1 ms−1. Find out the Coriolis force acting on it.

(b) A bacteria of mass 2×10−24kg is rotated in a centrifuge at an angular speed of π×103 rad s−1. It is situated at a distance of 5 cm from the axis of rotation. Compute the effective value of g relative to the rotating frame of reference and the net centrifugal force on the bacteria.

Mechanical Engineering, Engineering

  • Category:- Mechanical Engineering
  • Reference No.:- M92819

Have any Question? 


Related Questions in Mechanical Engineering

The jet pump injects water at v1nbsp 40 ms through a 76 cm

The jet pump injects water at V 1  = 40 m/s through a 7.6 cm pipe and entrains a secondary flow of water V 2  = 3 m/s in the annular region around the small pipe. The two flows become fully mixed downstream, where V 3  i ...

1 a slender vertical bar ab with pinned ends and length l

1. A slender vertical bar AB with pinned ends and length L is held between immovable supports. What increase ?T in the temperature of the bar will produce buckling? 2. A W2 × 87 structural steel column has a length of 12 ...

A steel bar with the cross section shown and effective

A steel bar with the cross section shown and effective length L = 2.5 m is subjected to a compressive load P = 200 kN with a eccentricity e = 0.00625 m. Find (a) the beam's maximum deflection, and (b) the maximum normal ...

Each wood railroad tie supports part of the weight of a

Each wood railroad tie supports part of the weight of a train (plus the relatively small weight of a section of rail). This is modeled with two point loads representing the force of the rail on the tie. The reaction from ...

The demand for a certain product is a linear function of

The demand for a certain product is a linear function of the price. The sales of the product for three different prices are given in the following table Find the least squares regression line and estimate the demand when ...

Wat is the resilience of the bolts and joint this time

What is the resilience of the bolts and joint this time? What is the stiffness ratio of this eccentric joint? By how much does the tensile load of 7.40 kips increase the tension in the bolts and reduce the clamping force ...

You are asked to design a cylindrical scuba tank with a

You are asked to design a cylindrical scuba tank with a radius R = 16 cm to a pressure of p = 12.0 MPa at a factor of safety of 2.0 with respect to the yield stress. The relevant tabulated yield values for the steel of w ...

A dilute suspension contains ten spheres per liter a sample

A dilute suspension contains ten spheres per liter. A sample (one tenth of that solution) is removed. What is the probability that there is (a) at least one sphere, (b) at most one sphere in the sample. You may assume th ...

Confirm that in hydrogenic atoms the spin-orbit coupling

Confirm that in hydrogenic atoms, the spin-orbit coupling constant depends on n and l as in eqn 7.24 2.Calculate the spin-orbit coupling constant for a 2p-electron in a Slater-type atomic orbital, and evaluate it for the ...

On a certain day the barometric pressure at sea level is

On a certain day the barometric pressure at sea level is 30.1 in. Hg, and the temperature is 70°F. The pressure gage in an airplane in flight indicates a pressure of 10.6 psia, and the temperature gage shows the air temp ...

  • 4,153,160 Questions Asked
  • 13,132 Experts
  • 2,558,936 Questions Answered

Ask Experts for help!!

Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

Ask Now Help with Problems, Get a Best Answer

Section onea in an atwood machine suppose two objects of

SECTION ONE (a) In an Atwood Machine, suppose two objects of unequal mass are hung vertically over a frictionless

Part 1you work in hr for a company that operates a factory

Part 1: You work in HR for a company that operates a factory manufacturing fiberglass. There are several hundred empl

Details on advanced accounting paperthis paper is intended

DETAILS ON ADVANCED ACCOUNTING PAPER This paper is intended for students to apply the theoretical knowledge around ac

Create a provider database and related reports and queries

Create a provider database and related reports and queries to capture contact information for potential PC component pro

Describe what you learned about the impact of economic

Describe what you learned about the impact of economic, social, and demographic trends affecting the US labor environmen