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6.25 For the system for Figure P6.25, determine (a) its free response when the block is...
A spring-mass-dashpot system for the motion of a block of mass m kg is shown in...
A spring-mass-dashpot system for the motion of a block of mass m kg is shown in Fig. II-2. The block is moved to the right of the equilibrium position and is released from rest (time t = 0) when its displacement, x = XO. Using the notations given in Fig. II-2,4 (1) Draw the free body diagram of the block - (2) Write the equation of motion of the block- If the initial displacement of the block to the right...
A spring-mass-dashpot system for the motion of a block of mass m kg is shown in...
A spring-mass-dashpot system for the motion of a block of mass m kg is shown in Fig. II-2. The block is moved to the right of the equilibrium position and is released from rest (time t = 0) when its displacement, x = XO. Using the notations given in Fig. II-2,4 (1) Draw the free body diagram of the block - (2) Write the equation of motion of the block- If the initial displacement of the block to the right...
51 A Block-Spring System A 320-g block connected to a light spring for which the force...
51 A Block-Spring System A 320-g block connected to a light spring for which the force constant is 5.30 N/m is free to oscillate on a frictionless, horizontal surface. The block is displaced 5.10 cm from equilibrium and released from rest as in the figure. (A) Find the period of its motion. (B) Determine the maximum speed of the block. (C) What is the maximum acceleration of the block? (D) Express the position, velocity, and acceleration as functions of time...
Problem#6 A system comprising blocks, a light frictionless pulley, a frictionless incline, and connecting ropes is shown in the figure. The 9.0-kg block accelerates downward when the system...
Problem#6 A system comprising blocks, a light frictionless pulley, a frictionless incline, and connecting ropes is shown in the figure. The 9.0-kg block accelerates downward when the system is released from rest. The tension in the rope connects the 6.0-kg block and the 4.0-kg block. (a) Draw the free body diagrams (b) Find the tension in the rope (c) Find the reaction of the incline surface on each block rn +1 30° 10-9
Problem#6 A system comprising blocks, a light...
09. For the two degrees of freedom system shown in Figure 4, determine the steady state response ...
09. For the two degrees of freedom system shown in Figure 4, determine the steady state response of the system due to a sinusoidal force Fi() 10sin10r applied to the mass block whose displacement isn. Given m = 10 kg, k = 1000N rn and the equations of motion of the system are -지 3m
09. For the two degrees of freedom system shown in Figure 4, determine the steady state response of the system due to a sinusoidal force...
A 70 Kg block slides down a smooth inclined surface as shown in the figure. Determine...
A 70 Kg block slides down a smooth inclined surface as shown in the figure. Determine the terminal velocity of the block (in m/s) and the surface contains 0.1 mm oil. Assume the velocity distribution in the gap is liner, and the area of the block in contact with the oil is 0.30 m2 Take the oil viscosity = 0.41 N.S/m2
The figure(Figure 1) shows a 1.75-kg block at rest on a ramp of height h. When...
The figure(Figure 1) shows a 1.75-kg block at 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 10.0 cm that has a
coefficient of kinetic friction 0.650. Part A Find h such that the
block's speed after crossing the rough patch is 3.40 m/s .
Determine and plot, for the system of Figure P6.40, its response i(t) (a) when v(t) =...
Determine and plot, for the system of Figure P6.40, its response
i(t) (a) when v(t) = 10_(t), (b) when v(t) =10u(t), and (c) when
v(t)=0.5t.
6.40 Determine and plot, for the system of Figure P6.40, its response i(1) (a) when r(t) 100(1), (b) when y(t) = 10u(t), and (c) when v(t) 0.51. 0.2 H m (1) 2.62 0.1 F FIG. P6.40
Consider the system of two equal masses M joined together by three identical springs of spring co...
Consider the system of two equal masses M joined together by three identical springs of spring constant k. *2 x1 As shown in the figure, assume the left mass has been displaced a from its equilibrium position, and the right mass has been displaced distance a distance T2 from its equilibrium position. In terms of ri and z2 i. How much has the left spring been stretched/compressed from equilibrium? ii. How much has the middle spring been stretched/compressed from equilib-...
3. A spring stretches 3.0 cm from its relaxed length when a force of 7.5 N...
3. A spring stretches 3.0 cm from its relaxed length when a force of 7.5 N is applied. A particle with a mass of 0.5 kg rests on a frictionless horizontal surface and is attached to the free end of the spring: The particle is pulled horizontally so that it stretches the spring 5.0 cm and is then released from rest at t 0. (a) What is the force constant of the spring? (b) What are the period, frequency, f,...
A spring-mass-dashpot system for the motion of a block of mass m kg is shown in Fig. II-2. The block is moved to the right of the equilibrium position and is released from rest (time t = 0) when its displacement, x = XO. Using the notations given in Fig. II-2,4 (1) Draw the free body diagram of the block - (2) Write the equation of motion of the block- If the initial displacement of the block to the right...
A spring-mass-dashpot system for the motion of a block of mass m kg is shown in Fig. II-2. The block is moved to the right of the equilibrium position and is released from rest (time t = 0) when its displacement, x = XO. Using the notations given in Fig. II-2,4 (1) Draw the free body diagram of the block - (2) Write the equation of motion of the block- If the initial displacement of the block to the right...
51 A Block-Spring System A 320-g block connected to a light spring for which the force constant is 5.30 N/m is free to oscillate on a frictionless, horizontal surface. The block is displaced 5.10 cm from equilibrium and released from rest as in the figure. (A) Find the period of its motion. (B) Determine the maximum speed of the block. (C) What is the maximum acceleration of the block? (D) Express the position, velocity, and acceleration as functions of time...
Problem#6 A system comprising blocks, a light frictionless pulley, a frictionless incline, and connecting ropes is shown in the figure. The 9.0-kg block accelerates downward when the system is released from rest. The tension in the rope connects the 6.0-kg block and the 4.0-kg block. (a) Draw the free body diagrams (b) Find the tension in the rope (c) Find the reaction of the incline surface on each block rn +1 30° 10-9
Problem#6 A system comprising blocks, a light...
09. For the two degrees of freedom system shown in Figure 4, determine the steady state response of the system due to a sinusoidal force Fi() 10sin10r applied to the mass block whose displacement isn. Given m = 10 kg, k = 1000N rn and the equations of motion of the system are -지 3m
09. For the two degrees of freedom system shown in Figure 4, determine the steady state response of the system due to a sinusoidal force...
A 70 Kg block slides down a smooth inclined surface as shown in the figure. Determine the terminal velocity of the block (in m/s) and the surface contains 0.1 mm oil. Assume the velocity distribution in the gap is liner, and the area of the block in contact with the oil is 0.30 m2 Take the oil viscosity = 0.41 N.S/m2
The figure(Figure 1) shows a 1.75-kg block at 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 10.0 cm that has a
coefficient of kinetic friction 0.650. Part A Find h such that the
block's speed after crossing the rough patch is 3.40 m/s .
Determine and plot, for the system of Figure P6.40, its response
i(t) (a) when v(t) = 10_(t), (b) when v(t) =10u(t), and (c) when
v(t)=0.5t.
6.40 Determine and plot, for the system of Figure P6.40, its response i(1) (a) when r(t) 100(1), (b) when y(t) = 10u(t), and (c) when v(t) 0.51. 0.2 H m (1) 2.62 0.1 F FIG. P6.40
Consider the system of two equal masses M joined together by three identical springs of spring constant k. *2 x1 As shown in the figure, assume the left mass has been displaced a from its equilibrium position, and the right mass has been displaced distance a distance T2 from its equilibrium position. In terms of ri and z2 i. How much has the left spring been stretched/compressed from equilibrium? ii. How much has the middle spring been stretched/compressed from equilib-...
3. A spring stretches 3.0 cm from its relaxed length when a force of 7.5 N is applied. A particle with a mass of 0.5 kg rests on a frictionless horizontal surface and is attached to the free end of the spring: The particle is pulled horizontally so that it stretches the spring 5.0 cm and is then released from rest at t 0. (a) What is the force constant of the spring? (b) What are the period, frequency, f,...
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