2. A gymnast with mass 46.0 kg stands on the L. end of a uniform balance beam. The beam is 5.00 m long and has a mass of 250 kg (excluding the mass of the two supports). Each support is 0.540 m from its end of the beam. Answer the following questions. In unit-vector notation, what are the forces on the beam due to support 1 and support а. 2? b. What could be the mass of the balance beam such that the gymnast can just tip the beam at that position?

2. A gymnast with mass 46.0 kg stands on the L. end of a uniform balance beam. The beam is 5.00 m long and has a mass of 250 kg (excluding the mass of the two supports). Each support is 0.540 m from its end of the beam. Answer the following questions. In unit-vector notation, what are the forces on the beam due to support 1 and support а. 2? b. What could be the mass of the balance beam such that the gymnast can just tip the beam at that position?

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter8: Rotational Motion

Section: Chapter Questions

Problem 90A

See similar textbooks

Similar questions

A uniform plank of length 2.00 m and mass 26.0 kg is supported by three ropes, as indicated by the blue vectors in the figure below. Find the tension in each rope when a 710–N person is d = 0.500 m from the left end. Answer the 3 boxes below:
A gymnast with mass 46.0 kg stands on the end of a uniform balance beam as shown in the figure. The beam is 5.40 m long and has a mass of 250 kg (excluding the mass of the two supports). Each support is 0.540 m from its end of the beam. In unit-vector notation, what are the forces on the beam due to (a) support 1 and (b) support 2?
A uniform beam is 5.00 m long and has a mass of 53.0 kg. The beam is supported in a horizontal position by a hinge and a cable, with angle ? = 115°.(a) Draw all the forces acting on the beam.(b) What Newton’s Law will you use to solve this problem?(c) What is the tension ?? on the cable?(d) What are the magnitude of the vertical and horizontalforces acting on the hinge ???(e) What is the magnitude and direction of the torque ??exerted by the tension on the cable?
A uniform, 255-N rod that is 2 mlong carries a 225-N weight at its right end andan unknown weight toward the left end asshown in Figure 1. When W is placed 50 cm fromthe left end of the rod, the system just balanceshorizontally when the fulcrum is located 75 cmfrom the right end.a. Find W.b. If W is now moved 25 cm to the right,how far and in what direction must thefulcrum be moved to restore balance?
A man opens a 1.00-m wide door by pushing on it with a forceof 50.0 N directed perpendicular to its surface. What magnitudeof torque does he apply about an axis through the hingesif the force is applied (a) at the center of the door? (b) at theedge farthest from the hinges?
Zane and Phoebe are sitting on opposite ends of a teeter‑totter that is 4.00 m4.00 m long with the pivot point in the exact center. Zane weighs 433 N433 N and Phoebe weighs 341 N.341 N. What torque does Zane's weight exert?
A worker applies a torque to a nut with a wrench 0.500 mlong. Because of the cramped space, she must exert a forceupward at an angle of 60.0° with respect to a line from thenut through the end of the wrench. If the force she exerts hasmagnitude 80.0 N, what magnitude torque does she apply tothe nut?
Suppose just two external forces act on a stationary, rigid object and the two forces are equal in magnitude and opposite in direction. Under what condition does the object start to rotate?
A worker applies a torque to a nut with a wrench 0.500 m long. Because of the cramped space, she must exert a force upward at an angle of 60.0 with respect to a line from the nut through the end of the wrench. If the force she exerts has magnitude 80.0 N, what magnitude torque does she apply to the nut?
What three factors affect the torque created by a force relative to a specific pivot point?
A mechanic is screwing a bolt and applies a force ?⃗ ofmagnitude 12.0 N to the end of the wrench. The force makes an angle θ =35.0∘with the horizontal, and the wrench is positioned vertically. The distance fromthe bolt to the end of the wrench is ? = 25.0cm. Find the torque on the bolt exertedby the force ?⃗. (Consider the sign of the torque in your answer, positive if torque iscounterclockwise and negative if torque is clockwise).
How do you do this? A hungry bear weighing 700 N walks out on a beam in an attempt to retrieve a basket of goodies hanging at the end of the beam (see figure below). The beam is uniform, weighs 200 N, and is 6.00 m long, and it is supported by a wire at an angle of ? = 60.0°. The basket weighs 80.0 N. a) When the bear is at x = 1.00 m, find the tension (in N) in the wire supporting the beam and the components of the force exerted by the wall on the left end of the beam. b) If the wire can withstand a maximum tension of 875 N, what is the maximum distance (in m) the bear can walk before the wire breaks?