Classical Mechanics Answers

A small collar is confined to travel along a horizontal circular rod of radius 0.35

0.35 m as shown. The coefficient of kinetic friction between the rod and collar is 0.36

At a particular instant the collar is moving at 2.45m/s.  At that instant ...

a) [3] ... what is its rate of change of speed? (Take g = 9.81 m/s².)    m/s² 

[Notes: you don't need the mass of the collar; it will cancel. Also, a reminder that the normal force has two components here: a normal/radial component and a binormal component. There is no calculus in this problem.]

b) [1] ... what angle does the normal force the rod exerts on the collar make above the horizontal?   degrees

Question:

There's a hanging mass, and a cart attached to it via a string.

1) If the hanging mass is much heavier than the mass of the cart, what would be the acceleration of the system? Explain why.

2) If the hanging mass and the cart were the exact same mass, what would be the acceleration of the system? Explain why.

No values are required! Just a general explanation. Please use words for an explanation (Ex. the acceleration would be the same because…) instead of just formulas (formulas to represent are ok, but I need it written in pure wording to understand fully) Thanks!

In a game of tug-of-war, the team that pushes the ground harder in a horizontal direction wins. Explain why. You may want to include a sketch

I have a question regarding Newton's 2nd Law.

There's a hanging mass, and a cart attached to it via a string.

1) If the hanging mass is much heavier than the mass of the cart, what would be the acceleration of the system? Explain why.

2) If the hanging mass and the cart were the exact same mass, what would be the acceleration of the system? Explain why.

No values are required! Just a general explanation. Thanks.

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=??