A bridge is 50m long, has a mass of 20,000kg, and rests on two pivots, A and B. The distance between A and the left side of the bridge is 10m. The distance between B and the right side of the bridge is 10m.
A lorry drives across the bridge.
i) What is the maximum possible mass of the lorry?
I worked this answer out to be 30,000kg. (10
Conserve torque (principle of moments) about A when the truck is at the extreme end which is closer to A.
Oh sorry, I answered part 1 instead of part 2.
Assume the forces at A and B to be some variables. Net force on system must be 0, net torque on system must be zero. Two equations, two unknowns. Done.
A bridge is 50m long, has a mass of 20,000kg, and rests on two pivots, A...
2) A board with a mass of 6 kg, which is 5 meters long, rests on two supports. Support one is 0.11 meters to the right of the left side of the board and support two is some distance to the left of the right side of the board. The normal force from support 1 is 1/4 of the board's weight. If a force is applied 0.23 meters to the right of second support vertically downwards, how much force is...
A uniform beam resting on two pivots has a length L=6.00m and mass M =88.9kg. One pivot supports the left end of the beam and the second pivot is placed at distance ℓ=4.00m away from it. A woman of mass m=57.3KG steps onto the left end of the beam and begins walking to the right as in the figure below. Find the position x of the woman when the beam is about to tip. Define the origin (x=0) as the...
A bridge is supported by two piers located 12 meters apart. Both the left and right piers provide an upward force on the bridge, labeled FL and FR respectively. a. If a 1700 kg car comes to rest at a point 5 meters from the left pier, how much force (in N) will the bridge provide to the left and right piers? (Enter the magnitudes.) FL = N FR = N How will FL and FR change as the car...
Rope between inclines A rope rests on two platforms which are both inclined at an angle θ (which you are free to pick), as shown. The rope has uniform mass density, and its coefficient of friction with the platforms is 1. The system has left-right symmetry. What is the largest possible fraction of the rope that does not touch the platforms? What angle θ allows this maximum value?
A uniform beam resting on two pivots has a length L = 6.00 m and mass M = 76.5 kg. The pivot under the left end exerts a normal force nt on the beam, and the second pivot located a distance l = 4.00 m from the left end exerts a normal force nz. A woman of mass m = 56.7 kg steps onto the left end of the beam and begins walking to the right as in the figure...
a bridge crossing a ravine has a mass of mb and length L. The bridge is supported by pilings at point a and b at the right and left ends . a truck of mass Mt stops at the point l/3 from point b. find the expressions for Fa and Fb, the forces supporting the bridge at bother ends.
Question 10 A copper rod of mass m 0.912 kg rests on two horizontal rails a distance L-1.08 m apart and carries a current of i 51.0 A from one rail to the other. A top view and a side view are shown in the figure. The coefficient of static friction between rod and rails is 0.580. What are the (a) magnitude and (b) angle (relative to the vertical) of the smallest magnetic field that puts the rod on the...
Chapter 28, Problem 047 A copper rod of mass m -1.02 kg rests on two horizontal rails a distance L 0.979 m apart and carries a current of i 49.0 A from one rail to the other. A top view and a side view are shown in the figure. The coefficient of static friction between rod and rails is u- 0.590. What are the (a) magnitude and (b) angle (relative to the vertical) of the smallest magnetic field that puts...
on the - Let consider two long parallel wires with distance d between them The wire on the left-hand side carries a current of I/2 and the wire right-hand-side carries current of +I. Find the position where the magnetic field is zero.
Lets consider two long parallel wires with distance d between them. The wire on the left hand side carries a current of -I/2 and the wire on the right hand side carries a current of +I. Find the position where the magnetic field is zero.