A mass m0 = 5 kg is released from a height of h = 1 m and
impacts another mass M = 20 kg which is connected to a spring (k =
192 N/m) with no rebound. Find the differential equation, the
initial conditions and equation of the oscillation, x(t).
Homework Answers
4.[1pt] A block of mass m - 6.10 kg is released from rest at a height...
4.[1pt] A block of mass m - 6.10 kg is released from rest at a height of H- 10.00 m on a curved frictionless ramp. At the foot of the ramp is a sring whose spring constant is k -455.0 N/m. What is the maximum compression of the spring, x? Answer: Submit All Answers 5.[lpt] After the spring reaches its maximum compression, it pushes the block backwards. What is the maximum height reached by the block? Answer: Submit All Answers
An object of mass 0.25-kg is resting on a frictionless table by a sp 14. 16%) ing (k as shown. The mass is pulled 0.5-meters to the right from its equilibrium and released from rest. /m a. (2 pts...
An object of mass 0.25-kg is resting on a frictionless table by a sp 14. 16%) ing (k as shown. The mass is pulled 0.5-meters to the right from its equilibrium and released from rest. /m a. (2 pts) Write an initial value problem (both the Differential equation and the initial conditions) that models this situation. b. (4 pts) Now solve the IVP to find the equation of motion as a function of time, t.
An object of mass 0.25-kg...
As shown in the figure below, a 2.25-kg block is released from rest on a ramp of height h.
As shown in the figure below, a 2.25-kg block is released from rest on a ramp of height h. When the block is released, it slides without friction to the bottom of the ramp, and then continues across a surface that is frictionless except for a rough patch of width 15.0 cm that has a coefficient of kinetic friction μk = 0.520. Find h such that the block's speed after crossing the rough patch is 4.20 m/s. An object with a...
A spring stretches 0.150 m when a 0.300 kg. mass is hung vertically from it. From...
A spring stretches 0.150 m when a 0.300 kg. mass is hung vertically from it. From this information you can determine the spring constant, k. Next, the spring is set up horizontally with the 0.300 kg. mass resting on a frictionless table. The block is pushed so that the spring is compressed 0.100 m from the equilibrium point, and released from rest. Determine: The spring constant k (in N/m)? The amplitude of the horizontal oscillation (in m)? The angular frequency,...
M 7 A mass M = 1.2 kg is released from rest. From the initial height...
M 7 A mass M = 1.2 kg is released from rest. From the initial height of 75 cm above the ground, the mass drops from an free spring (neither compressed, nor extended) of constant k = 590 N/m The maximum compression of the spring, due to the impact of the dropping mass is sh = 160 mm. Analyse the system with respect to the balance of energy, and the apply the conservation of energy, considering the ground level as...
M A mass M-1.2 kg is released from rest. From the initial height of 75 cm...
M A mass M-1.2 kg is released from rest. From the initial height of 75 cm above the ground, the mass drops from an free spring (neither compressed, nor extended) of constant k = 590 N/m. The maximum compression of the spring, due to the impact of the dropping mass is sh = 160 mm. Analyse the system with respect to the balance of energy, and the apply the conservation of energy, considering the ground level as reference of the...
LUumeu. wwe. 1. Mass-spring system [20] A 0.50 kg mass is connected to a 5.0 N/m...
LUumeu. wwe. 1. Mass-spring system [20] A 0.50 kg mass is connected to a 5.0 N/m spring. From the rest position (x = 0), it is set into motion with an initial speed of +2.0 m/s. (a) What is the amplitude of the subsequent oscillatory motion? [5] (b) How long will a complete oscillation take? [5] (c) What will be the position and the velocity of the mass at t=0.30 s? [10]
PART A PART B PART C PART D (1 point) A mass m = 4 kg...
PART A
PART B
PART C
PART D
(1 point) A mass m = 4 kg is attached to both a spring with spring constant k = 197 N/m and a dash-pot with damping constant c=4N s/m. The mass is started in motion with initial position to 3 m and initial velocity vo = 6 m/s. Determine the position function r(t) in meters. x(1) Note that, in this problem, the motion of the spring is underdamped, therefore the solution can...
A mass 3 kg is released from rest at a height of 5 meters and slides...
A mass 3 kg is released from rest at a height of 5 meters and slides down a frictionless curve. There is a patch that is 3 meters long with a kinetic coefficient of 0.2. Beyond that friction patch is a spring with a spring constant of 400 N/m. (There is no friction under the spring.) Calculate the maximum compression distance (x) needed to stop the mass the first time It compresses the spring. Calculate where exactly the mass stops...
5. A2 kg block is dropped from a height of 0.4 m unto a spring whose...
5. A2 kg block is dropped from a height of 0.4 m unto a spring whose force constant k is 1960 N/m. Find the maximum compression of the spring. 6. A 10 kg body is forced against a horizontal elastic spring compressing it an amount of 0.5 m. When the body was released, it moves on a horizontal surface a distance of 3 m before coming to rest. The force constant of the spring is 500 N/m. What is the...
4.[1pt] A block of mass m - 6.10 kg is released from rest at a height of H- 10.00 m on a curved frictionless ramp. At the foot of the ramp is a sring whose spring constant is k -455.0 N/m. What is the maximum compression of the spring, x? Answer: Submit All Answers 5.[lpt] After the spring reaches its maximum compression, it pushes the block backwards. What is the maximum height reached by the block? Answer: Submit All Answers
An object of mass 0.25-kg is resting on a frictionless table by a sp 14. 16%) ing (k as shown. The mass is pulled 0.5-meters to the right from its equilibrium and released from rest. /m a. (2 pts) Write an initial value problem (both the Differential equation and the initial conditions) that models this situation. b. (4 pts) Now solve the IVP to find the equation of motion as a function of time, t.
An object of mass 0.25-kg...
M 7 A mass M = 1.2 kg is released from rest. From the initial height of 75 cm above the ground, the mass drops from an free spring (neither compressed, nor extended) of constant k = 590 N/m The maximum compression of the spring, due to the impact of the dropping mass is sh = 160 mm. Analyse the system with respect to the balance of energy, and the apply the conservation of energy, considering the ground level as...
M A mass M-1.2 kg is released from rest. From the initial height of 75 cm above the ground, the mass drops from an free spring (neither compressed, nor extended) of constant k = 590 N/m. The maximum compression of the spring, due to the impact of the dropping mass is sh = 160 mm. Analyse the system with respect to the balance of energy, and the apply the conservation of energy, considering the ground level as reference of the...
LUumeu. wwe. 1. Mass-spring system [20] A 0.50 kg mass is connected to a 5.0 N/m spring. From the rest position (x = 0), it is set into motion with an initial speed of +2.0 m/s. (a) What is the amplitude of the subsequent oscillatory motion? [5] (b) How long will a complete oscillation take? [5] (c) What will be the position and the velocity of the mass at t=0.30 s? [10]
PART A
PART B
PART C
PART D
(1 point) A mass m = 4 kg is attached to both a spring with spring constant k = 197 N/m and a dash-pot with damping constant c=4N s/m. The mass is started in motion with initial position to 3 m and initial velocity vo = 6 m/s. Determine the position function r(t) in meters. x(1) Note that, in this problem, the motion of the spring is underdamped, therefore the solution can...
A mass 3 kg is released from rest at a height of 5 meters and slides down a frictionless curve. There is a patch that is 3 meters long with a kinetic coefficient of 0.2. Beyond that friction patch is a spring with a spring constant of 400 N/m. (There is no friction under the spring.) Calculate the maximum compression distance (x) needed to stop the mass the first time It compresses the spring. Calculate where exactly the mass stops...
5. A2 kg block is dropped from a height of 0.4 m unto a spring whose force constant k is 1960 N/m. Find the maximum compression of the spring. 6. A 10 kg body is forced against a horizontal elastic spring compressing it an amount of 0.5 m. When the body was released, it moves on a horizontal surface a distance of 3 m before coming to rest. The force constant of the spring is 500 N/m. What is the...
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