Y(s) 5 Consider the system G(s) U(s) s+2 (a) If u(t) is an impulse, what is y(t) ? (b) What is y(t=0) and y(t=1) ? Sketch the impulse response of the system and indicate the values of y(t) at t=0 and t=1. (c) If u(t) is a step input, can I apply the Final Value Theorem to find y(t=∞) ? What is y(t=0) ?
Q: Two masses are initially at rest (m₁ = 56 g and m₂ = 74 g) and are both in contact with compressed…
A:
Q: height ℎ, with negligible friction. At the bottom, where it is moving horizontally, it collides with…
A: a) First, we need to calculate the speed v1 of the crate of mass m1 at the bottom of the hill using…
Q: A ball of mass m falls freely from the ground at height h an
A:
Q: A 5 kg block falls from rest down a 7 m high frictionless hill. It collides with a stationary 2 kg a…
A:
Q: A ball of mass m is shot from a spring gun whose spring has a force constant k. The spring can be…
A: When the spring of the gun is compress by Δx.The internal force of the spring is F=k*Δx and the…
Q: A cart of mass 4 kg is on frictionless surface and compressed against an ideal spring with spring…
A: Given data, Mass m1=4 kg Mass m2=8 kg Height h2=0.67 m Compression x=1.04 m Acceleration due to…
Q: Consider a mass on a spring with m = k = 1 and x(0) = x'(0) = 0. At each of the instants t = 0, π,…
A:
Q: A ball of mass m is shot from a spring gun whose spring has a force constant k. The spring can be…
A: Total mechanical energy of ball remains constant. Hence, Energy of ball at instant when it launch…
Q: Problem 5 Test of Strength m₂ A game consists of compressing a spring (constant k) with a block of…
A: This is a question regarding the conservation of energy, and rotational motion.
Q: Car A (m=1,000 kg) is stopped at a traffic light when it is rear-ended by Car B (m=1,500 kg). The…
A: First we have to calculate final velocities , then we will conserve momentum.
Q: A mass of 3 kg is attached to a massless spring with a force constant of 500 N/m. The mass rests on…
A:
Q: Suppose a spring (with a spring constant of 600 N/m) is compressed 0.4 m. If a projectile of mass…
A: GivenSpring constant, K=600 N/mSpring compressed to distance, d=0.4 mMass of projectile, m=0.05 kg
Q: A block of mass m = 3.9 kg slides on a horizontal rough surface head on into a spring of spring…
A: Given : m=3.9 kg k=370 N/m μ=0.15 x=0.055 m…
Q: tennis ball of mass mt is held a small distance above a basketball of mass mb . Both are…
A: Given: The mass of the basketball is 0.480 kg. The mass of the tennis ball is 0.060 kg. The height…
Q: Two identical cars, each traveling at 16 m>s,slam into a concrete wall and come to rest. In car A…
A: The force (F) applied on a body whose momentum changes from p0 to p in time (t) is given by Newton’s…
Q: As illustrated, A flat disk with a mass of 1.387 kg slides on a horizontal frictionless surface. The…
A: Given mass , m=1.387 kginitial velocity, vA=2.673 m/schord stiffness , k=8.112 N/minitial position,…
Q: A block of mass m = 0.37 kg is set against a spring with a spring constant of k1 = 657 N/m which has…
A:
Q: In the figure here, a stationary block explodes into two pieces L and R that slide across a…
A: Given mL=1.1 Kg mR=?μL=0.49dL=0.3μR=0.47dR=0.38
Q: Consider a frictionless track as shown in the figure below. A block of mass m, = 2.00 kg is released…
A: As the block of mass m1 = 2 kg is released from the height h = 1.15 m so the kinetic energy of the…
Q: A crate of mass m1 slides down a well-lubricated hill of height h, with negligible friction. At the…
A: We are given spring constant and mass of crate attached to spring. We are also given compression in…
Q: List one quantity which is conserved during all collisions and explosions.
A:
Q: A bullet of mass m=5g moving with an initial speed 400m/s of 400 m/s is fired into and passes…
A:
Q: A box of mass m = 0.14 kg is set against a spring with a spring constant of kį = 670 N/m which has…
A: Given data *The given mass of the box is m = 0.14 kg *The spring constant is k1 = 670 N/m *The…
Q: You want the maximum compression of the spring to be 0.23 m. What must be the force constant of the…
A: Given Mass of the wood block = 2 kg Maximum compression of the block = 0.23 m To find out The force…
Q: A cart of mass m₁ = 4 kg is on frictionless surface and compressed against an ideal spring with…
A: Let the velocity of first cart before hitting the second cart be v. Since this velocity is a result…
Q: In this question you will use an energy approach to determine how the mass of a spring affects its…
A: Note: as per the policy, only the first three subparts of the question will be solved. If you want…


Step by step
Solved in 2 steps with 2 images

- Two masses hang next to each other from a support. Each mass has a pendulum length R = 30 cm. Object A is raised to a 66 degree angle with respect to vertical and allowed to fall as a pendulum, eventually colliding elastically with object B. Let object A have a mass ma=45g and object B have mass mb=65g. For all answers, work symbolically and then plug in numbers at the end. (a) What is the velocity of the object A before the collision? (Ignore the physical size of A and B, that is, assume y = 0 for both during the collision) (b) What quantities are conserved during the collision? (c) What are the maximum heights of each object after the collision?A mass of 700 kg moving at a speed of 36 km/h collides with a horizontally mounted spring of spring constant 6.26*10^3 N/m, what is the maximum compression (meters) of the spring?Two identical cars, A and B, traveling at 55 mi/h collide head-on. A third identical car, C, crashes into a brick wall going 55 mi/h. Which car has the least damage: (a) car A, (b) car B, (c) car C, or (d) all the same? Why is the answer C?
- A crate of mass m1 slides down a well-lubricated hill of height h, with negligible friction. At the bottom, where it is moving horizontally, it collides with another crate, of mass m2, that initially was sitting at rest and that is attached to a wall by a spring of spring constant k that initially is at its equilibrium length. Assume that the spring itself has negligible mass. a)Given that the distance d that the crates compress the spring is d=0.35 m, calculate the speed v2 of the crates immediately after the collision, in units of meters per second. Use the following values:k=950 N/mm1=2.4 kgm2=2.6 kgμ=0.49g=9.8 m/s2 b)What was the speed of the crate of mass m1 just before the collision with the second block, in meters per second? c) What is the height h of the hill, in meters?A block of mass M = 8 kg rests on a horizontal frictionless floor, and is connected to a vertical wall by a spring of force constant k = 200 N/m. When the spring is in its equilibrium position (neither stretched nor compressed), the block just touches a second lighter block of mass m = 4 kg at rest on the frictionless floor. The spring with mass M attached is now compressed by 0.1 m and released. The two blocks undergo a completely inelastic collision, i.e., they stick together after collision. Draw a diagram and define all relevant variables. Just before the collision, what is the velocity of mass MT Just after the collision, what is the common velocity of the two blocks? (What is the maximum stretching of the spring after the collision?: How long after the collision do the masses reach their first maximum stretch?Can any real collision ever be truly perfectly elastic? Why or why not? (You should think about this in two ways: first consider what effects of the environment surrounding the collision might have on energy and momentum conservation; second, consider the objects themselves – how must an object react to a collision in order to be considered "perfect"?).
- A 1.2 kg glider moving at 3.0 m/s [right] undergoes an elastic head-on collision with a glider of equal mass moving at 3.0 m/s [left]. The collision is cushioned by a spring whose spring constant, k, is 6.0 x 104 N/m. Determine the compression in the spring when the second glider is moving left at 1.6 m/s.A block A, of mass m = 10 Kg, compresses a spring of constant K = 1000 N / m in a length x = 3 cm. Starting from rest, the block is released, which moves from that moment on a horizontal surface without friction until it collides with another block B of mass m = 40 Kg, which was at rest. (Perfectly inelastic shock) and together they go up the channel (inclined surface) without friction, to later continue along a second horizontal plane without friction, at a height h with respect to the first (see Figure). Determine the energy variation that occurs in the collision .A 5-kg sphere is dropped from a height of y= 3 m to test a new spring floor used in gymnastics. The mass of floor section B is 12 kg, and the sphere bounces back upwards a distance of 44 mm. Knowing that the maximum deflection of the floor section is 33 mm from its equilibrium position, determine (a) the coefficient of restitution between the sphere and the floor, (b) the effective spring constant k of the floor section.