Mechanics | Relativity Answers

Find the angle of inclination with respect to the vertical of a two wheeler negotiating a turn. Given combine of mass of the vehicle with rider is 250kg. Moment of inertia of engine flywheel 0.3kg/m2. MR of each wheel is 5 times that of the road wheels and in the same direction with that of centre of gravity of the rider with vehicle is 0.6m, vehicle speed 90km/h and wheel radius is 0.3m and radius of turn 50m. [15]

A 10-kg projectile is fired vertically upward from the ground, with an initial velocity of 50 m/s, as shown below. Determine the maximum height to which it will travel if (a) atmospheric resistance is neglected; and (b) atmospheric resistance is measured as FD = (0.01v2 ) N, where v is the speed of the projectile at any instant, measured in m/s. [10]

4) Comparison of different lighting sources for the given table and give your remarks in view of efficiency?

Lumens

700

1100

1400

LED (Watts)

8 W

12 W

CFL (Watts)

(Watts)

14

20

24

Incandescent lamp

60

75

16 W

100

Two points in the xy plane have Cartesian coordinates (5.50, −6.00) m and (−3.50, 3.50) m

A uniform disc having a mass of 5kg and radius of gyration of 150mm is mounted on one end of a horizontal arm of length 200mm. the other end of the arm can rotate freely in a bearing. The disc is given a, clockwise spin of 250 rpm when seen from the end. Determine the motion of disc if the arm remains horizontal. [5] 

Metabolizing a candy bar releases about 10

6

106 joules of energy. Assume the candy bar's mass is 0.12 kg

kgand use the formula kinetic energy =1

2

mv

2

=12mv2, where m

m is the object's mass and v

v is its velocity. How fast must the candy bar travel to have the same 10

6

106 joules in the form of kinetic energy?

An object of mass 4kg moves around a circle of radius 6m with a constant speed at 12m/s, calculate the angular acceleration

Question 2

A spring-mass system, with a spring stiffness of 5,000 N/m, is subjected to a harmonic force of 

magnitude 30 N and frequency 20 Hz. The mass is found to vibrate with an amplitude of 0.2 m.

Assuming that vibration starts from rest (x0 = ẋ0 = 0), determine the mass of the system. [10]