The car shown in the figure has mass m (this includes the mass of the wheels). T

Question

The car shown in the figure has mass m (this includes the mass of the wheels). The wheels have radius r, mass m_w, and moment of inertia I = km_{ m w}r^2. Assume that the axles apply the same torque tau to all four wheels. For simplicity, also assume that the weight is distributed uniformly so that all the wheels experience the same normal reaction from the ground, and so the same frictional force. Use Newton's laws to find an expression for the net external force acting on the car. Ignore air resistance. Express your answer in terms of any given variables and f, the force of friction acting on each wheel. Use Newton's laws to find an expression for N, the normal force on each wheel. Express your answer in terms of m and g, the magnitude of the acceleration due to gravity.

Explanation / Answer

help: T=r*F*sin=r*F=r*m*g= 4.312 and ? difference=4.312-?, including friction gives Tnet=3.712-? T=I*a, I for a wheel=.5 m*r^2=.01089 a=Tnet/.01089 accel linear=a*r=11a 5.5*a*t^2=x t=sqrt[ x*.01089 / (5.5*(3.712-9.8*.11*m))] 3.T=I*a a=3 rpm/s (2Pi/rev)(min/60s)= Pi/10 rad/s^2 (iirc, + is ccw) I=(1.5+3.5)*(1.5)^2=11.25 T=3.534 N

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