# Question

The forces acting on Einstein and the bicycle (Fig. 2 of the Insight 8.1, Stability in Action) are the total weight of Einstein and the bicycle (mg) at the center of gravity of the system, the normal force (N) exerted by the road, and the force of static friction (fs) acting on the tires due to the road.

(a) If Einstein is to maintain balance, should the tangent of the lean angle θ(tan θ) be (1) greater than, (2) equal to, or (3) less than fs/N?

(b) The angle θ in the picture is about 11o. What is the minimum coefficient of static friction between the road and the tires?

(c) If the radius of the circle is 6.5 m, what is the maximum speed of Einstein’s bicycle?

(a) If Einstein is to maintain balance, should the tangent of the lean angle θ(tan θ) be (1) greater than, (2) equal to, or (3) less than fs/N?

(b) The angle θ in the picture is about 11o. What is the minimum coefficient of static friction between the road and the tires?

(c) If the radius of the circle is 6.5 m, what is the maximum speed of Einstein’s bicycle?

## Answer to relevant Questions

A fixed 0.15-kg solid-disk pulley with a radius of 0.075 m is acted on by a net torque of 6.4 m ∙ N. What is the angular acceleration of the pulley? Two masses are suspended from a pulley as shown in Fig. 8.47 (the Atwood machine revisited; see Chapter 4, Exercise 55). The pulley itself has a mass of 0.20 kg, a radius of 0.15 m, and a constant torque of due to the ...A planetary space probe is in the shape of a cylinder. To protect it from heat on one side (from the Sun’s rays), operators on the Earth put it into a “barbecue mode,” that is, they set it rotating about its long axis. ...A solid ball of mass m rolls along a horizontal surface with a translational speed of v. What percent of its total kinetic energy is translational? An industrial flywheel with a moment of inertia of rotates with a speed of 7500 rpm. (a) How much work is required to bring the flywheel to rest? (b) If this work is done uniformly in 1.5 min, how much power is required?Post your question

0