A uniform thin rod of length 6 m and mass 6.0 kg can rotate in a horizontal plane about a vertical axis through its center A. It has rotational inertia 18 kgm? about the axis through A. The rod is at rest when a 100 g bullet traveling in the horizontal plane of the rod is fired into one end of the rod. As viewed from the top, the direction of the bullet's velocity makes an angle of 30° with the rod. If the bullet stays in the rod and the angular velocity of the rod is 10 rad/s just after collision, what is the magnitude of the bullet's velocity just before impact ? (sin 30°=0.5. cos 30*=0.86, g-10 m/s) Rod 30 Bullet

A uniform thin rod of length 6 m and mass 6.0 kg can rotate in a horizontal plane about a vertical axis through its center A. It has rotational inertia 18 kgm? about the axis through A. The rod is at rest when a 100 g bullet traveling in the horizontal plane of the rod is fired into one end of the rod. As viewed from the top, the direction of the bullet's velocity makes an angle of 30° with the rod. If the bullet stays in the rod and the angular velocity of the rod is 10 rad/s just after collision, what is the magnitude of the bullet's velocity just before impact ? (sin 30°=0.5. cos 30*=0.86, g-10 m/s) Rod 30 Bullet

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Angular speed, acceleration and displacement

Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.

Angular Position

Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.

Question

A uniform thin rod of length 6 m and mass 6.0 kg can rotate in a horizontal plane about a vertical axis through its center A. It has rotational inertia 18
kgm2 about the axis through A. The rod is at rest when a 100 g bullet traveling in the horizontal plane of the rod is fired into one end of the rod. As
viewed from the top, the direction of the bullet's velocity makes an angle of 30° with the rod. If the bullet stays in the rod and the angular velocity of
the rod is 10 rad/s just after collision, what is the magnitude of the bullet's velocity just before impact ? (sin 30°=0.5, cos 30°=0.86. g=10 m/s²)
Rod
A
30
Bullet

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