Banked Curve I. A curve with a 120-m radius on a level road is banked at the correct angle for a speed of 20 m/s.
If an automobile rounds this curve at 30 m/s, what is the minimum coefficient of static friction between tires and road needed to prevent skidding?
While constructing a space platform a 116kg robot finds itself standing on a 24m long 205 kg steel beam that is motionless with respect to the platform. Using its magnetic feet it walks along the beam traveling south at 2.45m/s. What is the velocity of the beam with respect to the platform as the robot walks?
Help with 3 incircled problems on attachment.
For each initial approximation, determine graphically what happens if Newton's method is used...
Use Newton's method to approximate the indicated root of the equation...
Use Newton's method to find all roots of the equation...
The following equations describe the motion of a system of two objects:
+n - (5.00 kg)(9.8 m/s2)cos 15.0° = 0
fk = 0.360n
+T + (5.00 kg)(9.8 m/s2)sin 15.0° - fk = (5.00 kg)a
-T + (3.10 kg)(9.8 m/s2) = (3.10 kg)a
(a) Solve the equations for a and T.
a (in m/s2)=
T (in N)=
In what situation might these equations be u
The weight of the block in the drawing is 80.2 N. The coefficient of static friction between the block and the vertical wall is 0.490.
(a) What minimum force F is required to prevent the block from sliding down the wall?
(b) What minimum force is required to start the block moving up the wall?
See attached file.
What horizontal force must be applied to the cart shown in the figure in order that the blocks remain stationary relative to the cart? Assume all surfaces, wheels, and pulley are frictionless. (Hint: Note that the tension in the string accelerates m1.)
A block of mass m1 = 4.70 kg sits on top of a second block of mass m2 = 16.3 kg, which in turn is on a horizontal table. The coefficients of friction between the two blocks are µs = 0.300 and µk = 0.100. The coefficients of friction between the lower block and the rough table are µs = 0.600 and µk = 0.500. You apply a consta
An athlete whose mass is m is performing weight-lifting exercises. Starting from the rest position, he lifts, with constant acceleration, a barbell that weighs w. He lifts the barbell a distance of x in a time of t.
Use Newton'slaws to find the total force that his feet exert on the ground as he lifts the barbell.