Classical Mechanics Answers

funtion of a generator

A car travels on a straight road with constant speed and its wheel rotates 450 rotations

in 12 s. If the diameter of the wheel of the car is 50 cm, calculate the

(a) angular speed of the wheel in SI unit.

(b) speed of the car. 

Find the number of degree of freedom and set of generalized coordinate of the following

1) rigid body

2) cylinder rolling down on the inclined plane

3) disk vertically rolling on the plane

4) a particle moving along the curve

A metal block starts from rest and slides 12 m down a chute that is inclined at 40° to the horizontal. It then continues to slide along a horizontal length of the chute and eventually comes to rest. If μ = 0,2 between the chute and the block, calculate the horizontal length of the chute. Use conservation of energy to solve this question.

Clearly show the following values in their respective sections

Section A:

E_k=?

E_p=?

E_TR=?

E_TE=?

Energy equation=??

v=??

Section B:

E_k=?

E_p=?

E_TR=?

E_TE=?

Distance=??

A tractive effort of 3kN drives a 5 ton truck from rest up an inclince of 1 in 40. If the tractive resistance is constant at 380N and the tractive effort is parralel to the plane of the incline, use the method of conservation of energy to calculate the speed of the trcuk after it has traveled 250m up the incline.

Clearly show the following values:

Ek=?

Ep=?

ETR=?

ETE=?

Energy equation=?

v=?

A light 300mm diamter pulley is held stationairy and carries a 10kg mass haning on a light cord passing around the pulley. Find the vertical acceleration of the mass when the pulley is released. Frictional torque is the pulley bearings is 3N.m.

Clearly show the following value

Ek=?

Ep=?

E=?

Energy equation=??

v=??

You are sitting in a plane, in straight horizontal flight at constant speed of 250 \text{m.s}^{-1}

m.s−1

, when you drop your pen from height 0.30 m above your leg. You've just shown that it hits your leg after 0.25 s.

How far does the plane travel in that time?

A block is pulled to the right with a force of 250 N forming an angle of 42º, applying this force, the block reaches an acceleration of 1.5m / s.

The coefficient of friction is 0.3

a) Calculate the mass of the block.

b) Determine the normal force and the friction force

A 1.6 kg cat X at 1.2 m apart from the axis of rotation through point O on the platform that rotates horizontally (anti-clockwise) without friction. The platform has moment of inertia 80.0 kgm^2 and radius 2.0 m. The platform initially at rest, starts to rotate under a tangential force F of constant magnitude 25.0 N. Calculate the

(a) moment of inertia for the whole rotating system.

(b) angular acceleration of the system.

(c) angular speed of the system after 9.0 s.

(d) angular momentum of the system after 9.0 s.