A catapult can be modeled as a stiff rod of length 1 and negligible mass, joining two particles as shown in Figure (a) below where m₂ > m₁. Suppose that the catapult can turn on a frictionless horizontal axle perpendicular to the rod. The operator releases the catapult from rest in a horizontal orientation as shown in Figure (b). re (a) @ FF2 1 0 pivot. M2 /822/ Figure (b) my -3.00 m m2

A catapult can be modeled as a stiff rod of length 1 and negligible mass, joining two particles as shown in Figure (a) below where m₂ > m₁. Suppose that the catapult can turn on a frictionless horizontal axle perpendicular to the rod. The operator releases the catapult from rest in a horizontal orientation as shown in Figure (b). re (a) @ FF2 1 0 pivot. M2 /822/ Figure (b) my -3.00 m m2

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter10: Fixed-axis Rotation

Section: Chapter Questions

Problem 8CQ: A massless tether with a masses tied to both ends rotates about a fixed axis through the center. Can...

See similar textbooks

Similar questions

Consider the Atwood machine, where two masses m1 = 12.6 kg and m2 = 4.2 kg are connected by an ideal wire that passes through a pulley of mass M = E of radius R = 0.15 m. The pulley is attached, but can rotate freely around its axis of symmetry. As shown in the Figure below, at the initial instant the mass m1 is at a height h= 3.29 m in relation to m2. Knowing that the system starts from rest, and that the magnitude of the linear velocity of m1 when the masses pass through the same vertical position is v=3.31 m/s, what is the mass M of the pulley? Here, assume the acceleration due to gravity as g=10 m/s², the pulley moment of inertia as I=MR2 and, finally, that the wire does not slide on the pulley. Choose one: a. 4,2 kg b. 14,7 kg c. 10,5 kg d. 6,3 kg e. 12,6 kg f. 16,8 kg g. 8,4 kg h. None of the other alternatives.
Prove that the moment of inertia of a solid cylinder of uniform density, when rotating around its central axis,is MR2/2, where M is the mass of the cylinder and R is its radius. Hint: integrate the infinitesimal volume element in cylindrical coordinates
Problem 03 Show the drawing A force T passing through points A and B, has a counterclockwise moment of 400KN-m about point O, if the coordinates of points A and B are (0,6) and (8,0) in meters compute the value of force T.
Find the torque of a force 7iˆ + 3jˆ – 5ˆk about the origin. The forceacts on a particle whose position vector is iˆ – jˆ + ˆk.
Find the angle θ between the vectors a=5i−j−5kand b=2i+j−2k Answer (in radians): θ=?
In unit-vector notation, what is the net torque about the origin on a flea located at coordinates (0, -2.45 m, 1.68 m) when forces F→1=(6.42N)k̂ and F→2=(-4.93N)ĵ act on the flea?
If the cross product of two vectors vanishes, what can you say about their directions?
A massless tether with a masses tied to both ends rotates about a fixed axis through the center. Can the total acceleration of the tether mass combination be zero If the angular velocity Is constant?
A pendulum consists of a smallobject called a bob hanging froma light cord of fixed length, withthe top end of the cord fixed, asrepresented in Figure CQ7.5. Thebob moves without friction, swingingequally high on both sides. Itmoves from its turning point Athrough point B and reaches itsmaximum speed at point C. (a) Atwhat point does the bob have nonzeroradial acceleration and zero tangential acceleration?What is the direction of its total acceleration at this point?(b) At what point does the bob have nonzero tangentialacceleration and zero radial acceleration? What is thedirection of its total acceleration at this point? (c) At whatpoint does the bob have both nonzero tangential and radialacceleration? What is the direction of its total accelerationat this point?
The resultant of the three parallelforces P, 2P and 3P, with theircorresponding locations, is denoted as R as shown in the figure.Determine the distance x and the magnitude of the resultant.
The angular position of a point on a rotating rigid-body as a function of time is given below. what is its instantaneuos angular acceleration at t=3.00 s?
A uniform sphere of mass m and radius R rolls without slipping down a plane at an angle θ from thehorizontal. Show that the acceleration along the slope of the center of mass is aCM = (5/7)g sin θ and that the force of static friction needed is fs = (2/7)mg sin θ. What minimum coefcient of friction µs is needed to satisfythe conditions of the problem?