A uniform stick, mass m and length l, is placed in a horizontal plane by hanging...

A uniform stick, mass m and length l, is placed in a horizontal plane by hanging it from a massless string attached to the center. A ball of mass M moving with speed V in the plane of the stick. The ball strikes the stick at a distance d from the center. the collision is elastic. Find the resulting translational and rotational speeds of the stick and the resulting speed of the ball. show that the relative speed of the ball and the point of contact on the stick is the same before and immediately after the collision.

Solutions

Expert Solution

genius_generous answered 1 year ago

Next > < Previous

Related Solutions

Consider a simple plane pendulum of mass m and length l (the mass swings in a...

Consider a simple plane pendulum of mass m and length l (the mass swings in a vertical plane). After the pendulum is set into motion, the length of the string is decreased at a constant rate, ??/?? = −? = ?????. The suspension point remains fixed. (a) Compute the Lagrangian and Hamiltonian for the system. [4] (b) Compare the Hamiltonian and the total energy- is the energy conserved? Why/Why not? [2]

A stick is resting on a concrete step with 2727 of its total length ?L hanging...

A stick is resting on a concrete step with 2727 of its total length ?L hanging over the edge. A single ladybug lands on the end of the stick hanging over the edge, and the stick begins to tip. A moment later, a second, identical ladybug lands on the other end of the stick, which results in the stick coming momentarily to rest at ?=41.3∘θ=41.3∘ with respect to the horizontal, as shown in the figure. If the mass of each...

A uniform board of length L=.75m is sliding along a smooth, frictionless horizontal plane. The board...

A uniform board of length L=.75m is sliding along a smooth, frictionless horizontal plane. The board slides across a boundary with a rough horizontal surface. The coefficient of kinetic friection between the board and another second surface is μk= .31. The board has an initial speed of v=2.5m/s. How far past the boundary is the left end of the board when the board comes to rest? The answer was .654m, but I'm not getting any answer close to it, please...

The uniform pole of length 5 m and mass M = 94.2 kg is placed against...

The uniform pole of length 5 m and mass M = 94.2 kg is placed against the supporting surfaces shown. If the coefficient of static friction at both A and B is 0.25. Determine the maximum angle theta (in degrees) at which the pole can be placed before it begins to slip.

A uniform disk with radius 0.310 m and mass 30.0 kg rotates in a horizontal plane...

A uniform disk with radius 0.310 m and mass 30.0 kg rotates in a horizontal plane on a frictionless vertical axle that passes through the center of the disk. The angle through which the disk has turned varies with time according to ?(t)=( 1.10 rad/s)t+( 6.90 rad/s2 )t2 What is the resultant linear acceleration of a point on the rim of the disk at the instant when the disk has turned through 0.100 rev ?

A stick is resting on a concrete step with 1/4 of its total length L hanging...

A stick is resting on a concrete step with 1/4 of its total length L hanging over the edge. A single ladybug lands on the end of the stick hanging over the edge, and the stick begins to tip. A moment later, a second, identical ladybug lands on the other end of the stick, which results in the stick coming momentarily to rest at θ=67.3∘ with respect to the horizontal, as shown in the figure. If the mass of each...

A uniform stationary ladder of length L = 4.2 m and mass M = 19 kg...

A uniform stationary ladder of length L = 4.2 m and mass M = 19 kg leans against a smooth vertical wall, while its bottom legs rest on a rough horizontal floor. The coefficient of static friction between floor and ladder is μ = 0.38. The ladder makes an angle θ = 53° with respect to the floor. A painter of mass 8M stands on the ladder a distance d from its base. a. Find the magnitude of the normal...

A uniform horizontal 50.0 kg beam of length l= 3.50 m is at rest, supported by...

A uniform horizontal 50.0 kg beam of length l= 3.50 m is at rest, supported by a vertical rope located d =0.850 m from its left end . The right end of the beam is supported by a column which exerts an upward force on the beam a) Draw an exteded force diagram of the beam b) solve for (i) the magnitude of the tension in the rope and (ii) the force that the column exerts on the beam.

A thin, uniform bar of length L and mass M is suspended horizontally at rest. It...

A thin, uniform bar of length L and mass M is suspended horizontally at rest. It is suddenly released and, at the same instant, it is struck a sharp blow vertically upwards at one end – the duration of the impulse is negligibly short. (a) Explain the meaning of the equation Fnet = Macom (com stands for center of mass). If we call z the vertical direction, write an equation for zCOM(t), draw a sketch of zCOM(t) vs t, and...

A uniform plank of mass M and length L leans against a vertical wall. The initial...

A uniform plank of mass M and length L leans against a vertical wall. The initial angle it makes with the horizontal ground is 60º. It is let go from rest and slides down frictionlessly. The moment it leaves contact with the wall, what angle does it make with the ground? There is no friction anywhere.

Subjects