Classical Mechanics Answers

Block A sits on top of block B while the two slide down a frictionless ramp and over a circle-shaped hump as shown. Block B has twice the mass of Block A. Consider the situation when the two blocks are at the top of the hump.

A. Draw arrows to indicate the direction of the acceleration vectors for each of the blocks at the instant shown. If either (or both) is zero, state that explicitly,

B. Draw free body diagrams for each of the blocks. Label each arrow using the same scheme as used in the tutorial. Indicate “/ /“ marks, on any third law pairs. Draw your vectors to scale.

C. Is the magnitude of the gravitational force on Block A greater than, less than, or equal to the magnitude of the normal force exerted by Block B on Block A? Explain your reasoning.

D. Is the magnitude of the normal force by Block A on Block B greater than, less than, or equal to the magnitude of the normal force exerted by Block B on Block A? Explain your reasoning.

We have a Cavendish balance set up with two spheres (one small and one large) that are five centimeters apart of masses m = 1 g and m0 = 500 m, respectively. Suppose these design is placed at a point in space far removed from all other bodies. ,→ What is the acceleration a of the body m, and the acceleration a 0 of the body m0 ? [15] ,→ Is this a constant acceleration problem? Explain why or why not!

how do you derive the dimensional formular of absolute viscosity

Consider the 2-dimensional phase space R^2. Find the most general canonical transformation of this phase space,of the form Q=Q(q,p)=f(q)+g(p)

P=P(q,p)=c[f(q)+h(p)] where f,g and h are differentiable real-valued functions

1200kg car is traveling at a velocity of 20m/s the car then does 3000W of power for 20 seconds what is the change in momentum?

A block of mass m (initially at rest) is dropped from a height h landing onto a spring with spring/force constant k. Determine the maximum distance y that the spring will be compressed?

A crane boom 10 m long, weighing 870 N and having its center of gravity 3m from the bottom, is hinged at the lower end and makes an angle of 30° with the vertical. It is held in position by a horizontal cable fastened at the upper end. The boom supports a 4350-N load at its upper end. Find the tension in the cable.

A bar 2 m long makes an angle of 30° with the horizontal. A force of 40 is applied 0.4 m from the upper end. Calculate the torque due to this a force about each end.

A painter stands on a horizontal uniform scaffold hung by its ends from two vertical ropes 6m apart. The scaffold weighs 200 N and the tension in one rope is 750 N, that of the other one 250 N.

Solve for the weight of the painter.

Determine the position on the scaffold where the man stands.

Two men are carrying on their shoulders a 500-N load suspended from a piece of bamboo 3m long with each man positioned at the ends. If the load is suspended 1m from one end find the load carried by each.