A uniform rod, supported and pivoted at its midpoint, but initially at rest, has a mass of66gandalength7cm. Apieceofclaywith mass 21 g and velocity 1.7 m/s hits the very top of the rod, gets stuck and causes the clay- rod system to spin about the pivot point O at the center of the rod in a horizontal plane. Viewed from a
bove the scheme is
1.7 m/s
21 g
66 g (a) before
Oω (b) during
ω
(c) after
With respect to the pivot point O, what is the magnitude of the initial angular mo- mentum Li of the clay-rod system? After the collisions the clay-rod system has an angular velocity ω about the pivot.
Answer in units of kg · m2/s.
A uniform rod, supported and pivoted at its midpoint, but initially at rest, has a mass...
I did part 1 and got 0.0049,
which is correct. But I don't know how to do part 2 and 3. Please
help and thanks!
012 (part 1 of 3) 10.0 points A uniform rod, supported and pivoted at its midpoint, but initially at rest, has a mass of 88 g and a length 8 cm. A piece of clay with mass 44 g and velocity 2.8 m/s hits the very top of the rod, gets stuck and causes the...
A slender, uniform metal rod of mass M and length l is pivoted
without friction about an axis through its midpoint and
perpendicular to the rod. A horizontal spring, assumed massless and
with force constant k, is attached to the lower end of the rod,
with the other end of the spring attached to a rigid support.
(Figure 1)
2. Find the torque τ due to the spring. Assume that θ is small
enough that the spring remains effectively horizontal...
A pendulum consisting of a uniform rod and concentrated mass at its free end is pivoted to the inertial frame through a revolute joint. The rod has length L=1.2m and mass m=3 kg. The concentrated mass has magnitude M=5 kg. The system starts from rest with the rod making an angle 0=60° to the horizontal. A moment T-100 Nm acts on the rod. When the rod first makes an angle of p=300" to the horizontal, calculate: 1. Angular velocity of...
A uniform rod of mass 5 kg and length 1.5 m is pivoted about its center. The rod is struck at one end with a hammer; during the blow an average force of 1000 N acts for 0.01 seconds. What is the angular velocity of the rod just after the impact, if the rod was initially at rest? Use Irod = (1/12)ML2.
1. A thin rod of mass M and length d hangs vertically from a frictionless pivot attached to one end. A piece of clay of mass m moving horizontally at a speed v hits the rod a distance x from the pivot and sticks to it. Discussion Questions: (In the first 5-10 min a random group will be selected to explain.) • What “type” of collision is happening? What is and is not conserved? • Consider the analogous linear momentum...
A uniform rod with a mass m and length L has one end attached to a pivot. The rod swings around on a frictionless horizontal table with angular speed wo. A ball with mass m (so same mass as the rod) is placed on the table a distance d from the pivot. The ball is made of clay so when the rod strikes it, the ball sticks to the rod (i.e., inelastic collision). If the final (post-collision) angular velocity of...
A uniform rod of mass m= 6kg has length L= 30 cm. we pivoted it at L/6 from the end. We now set the rod into small angle oscillations. what is the angular frequency w of the oscillation given that the moment of inertia about the pivot is 7/36 mL^2 A) square root 2/3 g/L b) square root 12/7 g/L c) square root 9/7 g/L d) square root 3/2 g/l e) square root 3/7 g/L
A thin rod of mass m and length l rests on a frictionless table and is struck at a point l/4 from its center of mass by a clay ball of mass m moving at speed v. The ball sticks to the rod. If the rod is free to pivot about a frictionless pin at its center, find the angular velocity of the rod after the collision. Also find the velocity of the point at the top of the rod...
The diagram shows a thin rod of uniform mass distribution pivoted about one end by a pin passing through that point. The mass of the rod is 0.460 kg and its length is 1.50 m. When the rod is released from its horizontal position, it swings down to the vertical position as shown. A thin rod labeled M is initially horizontal, with a pivot on its left end. The rod then rotates clockwise by its left end until it is...