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15. A ball of mass m moves inside the smooth pipe with a constant relative velocity w. The pipe is attached to the plat...
A ball of mass m moves inside the smooth pipe with a constant relative velocity w....
A ball of mass m moves inside the smooth pipe with a constant relative velocity w. The pipe is attached to the plate at the distance h from its axis of rotation with the constant angular velocity a Neglecting the gravity acceleration, determine the reaction R of the pipe on the ball, if the ball is at the position determined by the angle a n/4. ha
A system of two bodies consisting of a rod of mass m and length L, and a disk of mass M and radius R, moves in the x-y...
A system of two bodies consisting of a rod of mass m and length L, and a disk of mass M and radius R, moves in the x-y plane. The disk rotates about the axis attached to the rod at a distance b from its axis of rotation. The absolute angular velocity of the rod is 2, and the angular velocity of the disk relative to the rod is @. Determine the ratio E/Ho of the kinetic energy E of...
2. A small box of mass m is kept on a fixed, smooth sphere of radius...
2. A small box of mass m is kept on a fixed, smooth sphere of radius R at a position where the radius through the box makes an angle of 30° with the vertical. The box is released from the position. (a) What is the force exerted by the sphere on the box just after the release? (b) Find the distance travelled by the box before it leaves contact with the sphere. 3. A particle is suspended from a fixed...
A pipe rest on the horizontal bed of the truck as shown. If the truck moves...
A pipe rest on the horizontal bed of the truck as shown. If the
truck moves foward with a constant acceleration a
and the pipe rolls without slipping, determine
(a) the accelertation a bar of the mass center
of the pipe
(b) the distance xT which the truck will
move before the pipe rolls off
ius of gyration k #120 mm ab as an angular velocity ω= 5 rad/so and r 200 mm. For this position of the disk and...
Problem 4 A uniform solid spherical ball of mass M and radius R rests on a horizontal surface. Assume a constant coeffi...
Problem 4 A uniform solid spherical ball of mass M and radius R rests on a horizontal surface. Assume a constant coefficient of friction (this means that the frictional force is equal to the normal force multiplied by u). The acceleration due to gravity is g. At time t 0, the bal is struck impulsively on center, causing it to go instantaneously from rest to initial rotation horizontal speed vo with a no (a) Find the horizontal speed, and the...
Earth with mass M. The angular velocity magnitude of the Earth relative to the inertial frame,...
Earth with mass M. The angular velocity magnitude of the Earth relative to the inertial frame, Ω. Find any cross products in this problem. This problem will have calculation in the non inertial frame S which rotates with the Earth about its axis. Earth is motionless in the S frame. The xyz coordinate system originates at the center of the Earth, the North Pole is on the positive z axis. At t = 0, a ball of mass m is...
6. A horizontal rod rotates about a vertical rod with a constant angular velocity 0, as...
6. A horizontal rod rotates about a vertical rod with a constant angular velocity 0, as shown in the figure below. Assume the rods have negligible mass. A smooth collar on the horizontal rod is attached to a spring (spring constant k) that is anchored to the vertical rod on the other end, and the spring is unstretched when the collar is at A, distance r; away from the vertical rod. Although not shown in the figure, the spring is...
2. A spring with constant 1.46 N/m has an unknown mass attached to it. It is...
2. A spring with constant 1.46 N/m has an unknown mass attached to it. It is pulled a set distance and released from rest. The resulting graph for position of the unknown mass as a function of time is shown below. Oscillating Mass-Spring System 08 0.6 0.4 02 position (m) 0 -02 5 -0.6 -0.8 1 time (s) a) What is the frequency? b) What is the amplitude? c) What is the angular frequency? d) What is the mass being...
A mass m = 3 kg is attached to a spring with spring constant k =...
A mass m = 3 kg is attached to a spring with spring constant k = 3 N/m and oscillates with simple harmonic motion along the x-axis with an amplitude A = 0.10 m. (a) What is the angular frequency of this oscillation? (b) What is the period T and the frequency f of the oscillation? (c) If the phase constant = 0, write down expressions for the displacement, velocity and acceleration of the mass as a function...
Relative Velocity and Projectile Motion . a)An airplane moves horizontally with a constant velocity VA/G 300m/s...
Relative Velocity and Projectile Motion . a)An airplane moves horizontally with a constant velocity VA/G 300m/s with respect to ground at height H = 600m. The plane fires a container, which has a speed VC/A = 300m/s and direction α = 300 with respect to the airplane immediately after the firing. The container performs a projectile motion and hits the ground at a horizontal distance L from the point of the firing (see figure a)What is the velocity (horizontal and...
A ball of mass m moves inside the smooth pipe with a constant relative velocity w. The pipe is attached to the plate at the distance h from its axis of rotation with the constant angular velocity a Neglecting the gravity acceleration, determine the reaction R of the pipe on the ball, if the ball is at the position determined by the angle a n/4. ha
A system of two bodies consisting of a rod of mass m and length L, and a disk of mass M and radius R, moves in the x-y plane. The disk rotates about the axis attached to the rod at a distance b from its axis of rotation. The absolute angular velocity of the rod is 2, and the angular velocity of the disk relative to the rod is @. Determine the ratio E/Ho of the kinetic energy E of...
2. A small box of mass m is kept on a fixed, smooth sphere of radius R at a position where the radius through the box makes an angle of 30° with the vertical. The box is released from the position. (a) What is the force exerted by the sphere on the box just after the release? (b) Find the distance travelled by the box before it leaves contact with the sphere. 3. A particle is suspended from a fixed...
A pipe rest on the horizontal bed of the truck as shown. If the
truck moves foward with a constant acceleration a
and the pipe rolls without slipping, determine
(a) the accelertation a bar of the mass center
of the pipe
(b) the distance xT which the truck will
move before the pipe rolls off
ius of gyration k #120 mm ab as an angular velocity ω= 5 rad/so and r 200 mm. For this position of the disk and...
Problem 4 A uniform solid spherical ball of mass M and radius R rests on a horizontal surface. Assume a constant coefficient of friction (this means that the frictional force is equal to the normal force multiplied by u). The acceleration due to gravity is g. At time t 0, the bal is struck impulsively on center, causing it to go instantaneously from rest to initial rotation horizontal speed vo with a no (a) Find the horizontal speed, and the...
6. A horizontal rod rotates about a vertical rod with a constant angular velocity 0, as shown in the figure below. Assume the rods have negligible mass. A smooth collar on the horizontal rod is attached to a spring (spring constant k) that is anchored to the vertical rod on the other end, and the spring is unstretched when the collar is at A, distance r; away from the vertical rod. Although not shown in the figure, the spring is...
2. A spring with constant 1.46 N/m has an unknown mass attached to it. It is pulled a set distance and released from rest. The resulting graph for position of the unknown mass as a function of time is shown below. Oscillating Mass-Spring System 08 0.6 0.4 02 position (m) 0 -02 5 -0.6 -0.8 1 time (s) a) What is the frequency? b) What is the amplitude? c) What is the angular frequency? d) What is the mass being...
Relative Velocity and Projectile Motion . a)An airplane moves horizontally with a constant velocity VA/G 300m/s with respect to ground at height H = 600m. The plane fires a container, which has a speed VC/A = 300m/s and direction α = 300 with respect to the airplane immediately after the firing. The container performs a projectile motion and hits the ground at a horizontal distance L from the point of the firing (see figure a)What is the velocity (horizontal and...
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