1. A four-wheel truck that has a mass of 5,000 kg accelerates forward. The coefficient of friction for the front and back wheels is 0.2 and 0.4, respectively. What is the acceleration of the truck? Assume that the friction force on both the front and rear wheels are at a maximum and both are about to slip.

2. Each of the 2 blocks A and B weigh 32.2 lb. A small strip is nailed onto the top surface of B to prevent A from sliding while the force P accelerates the system on a smooth plane. Determine the maximum value of P without causing A to tip? (Assume ground is frictionless.)

3. A 1800 kg 4-wheel car has its back wheels stuck in mud. Although the back tires slip, the front tires rotate without slipping. What is the car's acceleration if C is the center of mass, and u_k = 0.3 for the front tires?

A sphere of radius mass M andmoment of inertia I rolls down a slope that is inclined at an angle phi to the horizontal. The sphere starts from rest and rolls without slipping a distance L down the slope. Choose coordinates x and theta as shown.
a) Write down a relationship between x and theta.
Please see the attached fi

To solve many problems about rotational motion, it is important to know the moment of inertia of each object involved. Calculating the moments of inertia of various objects, even highly symmetrical ones, may be a lengthy and tedious process. While it is important to be able to calculate moments of inertia from the definition, in

1. Calculate the mass moment of inertia about the x axis. The total mass of the object is 13 kg.
2. The plate with two holes is made of steel with a density of 7800 kg-m3. The radius of each hole is 5 cm. Determine its mass moment of inertia about the z-axis.
3. Determine the mass moment of inertia about the y axis. The t

An object is made up of three masses connected by massless rods of fixed length. Mass A is located at (30.0 cm, 0 cm) and has a mass of 250 grams, mass B is located at (0 cm, 30.0 cm) and has a mass of 350 grams, mass C is located at (-30.0 cm, 0 cm) and has a mass of 450 grams. What is the moment of inertia of this object about

An object of your choice, of radius R, is given an initial angular velocity about a horizontal axis of w_0 (omega(initial)). The object is then set down on a surface that has a friction coefficient of u and released. What is the translational velocity of the object as it rolls away from the initial point of contact?

A sphere consists of a solid wooden ball of uniform density 800kg/m^3 and radius 0.20 m and is covered with a thin coating of lead foil with area density 20kg/m^2 .
Calculate the moment of inertia of this sphere about an axis passing through its center.

A cylinder with moment of inertia I about its center of mass, mass m, and radius r has a string wrapped around it which is tied to the ceiling. The cylinder's vertical position as a function of time is y(t).
At time t=0 the cylinder is released from rest at a height h above the ground.
**Please see attachment for complete q

Consider a sphere of radius R and mass M rolling without slipping. Which form of kinetic energy is larger, translational or rotational?
Translational kinetic energy is larger.
Rotational kinetic energy is larger.
Both are equal.
You need to know the speed of the sphere to tell.

The moment of inertia of a rotating solid disk about an axis through its center of mass is ½ MR2 . Suppose instead that axis the rotation passes through a point on the edge of the disk. Will the moment of inertia be the same, larger, or smaller?