Homework Help is Here – Start Your Trial Now!
Science
Advanced Physics
#1 | impact and impulse-momentum principle. This is a particle impact problem. You MUST solve this problem using the particle A ball of mass m, is dropped from the vertical height h above a resting wedge block of mass mp with a triangular top of angle 0, see Figure. At time t= 0, an impact occurs at point C at a distance d away from a rigid wall on the left. Assume coefficient of restitution e for all impacts. To answer the questions below, use the notations below. Let the velocity of the ball right before the impact be v1 = -Vb1y],Vb1y > 0, and its velocity right after the impact be vp2 = Vb2xī + V»2yJ. Let the velocity of the wedge block right after the impact be üp2 = Vp2xī. Let the magnitude of the impact force at C be F, and the magnitude of the normal force from the ground be N. Use the impulse momentum principle and the given set of variables to answer the following questions. Note that you MUST use the shown x-y coordinate system. Ignore friction between all surfaces. %3D Write down two impulse-momentum equations, one (a) for the ball and one for the wedge from t=0¯ to 0“, and identify all impulsive forces. (b) [ Explain if any momentum vectors in (a), or their components, can be considered conserved. (c). Let h= 0.8 m, d = 0.5 m, mp=1 kg, m, = 0.2 kg, e = 0.75, and 0=25-deg. Find vb2- C ; Let t = t1 be the time when the rebounded ball off of (d} the wedge block first hits the wall. Find the distance traveled by the wedge block at t1. If there is friction between the wedge block and the (e) ground, will your answer in (b) change, and why?

#1 | impact and impulse-momentum principle. This is a particle impact problem. You MUST solve this problem using the particle A ball of mass m, is dropped from the vertical height h above a resting wedge block of mass mp with a triangular top of angle 0, see Figure. At time t= 0, an impact occurs at point C at a distance d away from a rigid wall on the left. Assume coefficient of restitution e for all impacts. To answer the questions below, use the notations below. Let the velocity of the ball right before the impact be v1 = -Vb1y],Vb1y > 0, and its velocity right after the impact be vp2 = Vb2xī + V»2yJ. Let the velocity of the wedge block right after the impact be üp2 = Vp2xī. Let the magnitude of the impact force at C be F, and the magnitude of the normal force from the ground be N. Use the impulse momentum principle and the given set of variables to answer the following questions. Note that you MUST use the shown x-y coordinate system. Ignore friction between all surfaces. %3D Write down two impulse-momentum equations, one (a) for the ball and one for the wedge from t=0¯ to 0“, and identify all impulsive forces. (b) [ Explain if any momentum vectors in (a), or their components, can be considered conserved. (c). Let h= 0.8 m, d = 0.5 m, mp=1 kg, m, = 0.2 kg, e = 0.75, and 0=25-deg. Find vb2- C ; Let t = t1 be the time when the rebounded ball off of (d} the wedge block first hits the wall. Find the distance traveled by the wedge block at t1. If there is friction between the wedge block and the (e) ground, will your answer in (b) change, and why?

icon
Related questions
Question

4

#1 | impact and impulse-momentum principle. This is a particle impact problem. You MUST solve this problem using the particle A ball of mass m, is dropped from the vertical height h above a resting wedge block of mass mp with a triangular top of angle 0, see Figure. At time t= 0, an impact occurs at point C at a distance d away from a rigid wall on the left. Assume coefficient of restitution e for all impacts. To answer the questions below, use the notations below. Let the velocity of the ball right before the impact be üb1 = -Vp1y],Vp1y > 0, and its velocity right after the impact be īb2 = Vp2xī+ Vbzyj. Let the velocity of the wedge block right after the impact be üp2 = Vp2xi. Let the magnitude of the impact force at C be F, and the magnitude of the normal force from the ground be N. Use the impulse momentum principle and the given set of variables to answer the following questions. Note that you MUST use the shown x-y coordinate system. Ignore friction between all surfaces. Write down two impulse-momentum equations, one (a) for the ball and one for the wedge from t = 0 to 0*, and identify all impulsive forces. (b) Explain if any momentum vectors in (a), or their components, can be considered conserved. d h (c). Let h= 0.8 m, d = 0.5 m, mp=1 kg, m, = 0.2 kg, e = 0.75, and 0=25-deg. Find üp2. C 'Let t = t1 be the time when the rebounded ball off of (d) the wedge block first hits the wall. Find the distance traveled by the wedge block at tiı. If there is friction between the wedge block and the (e) ground, will your answer in (b) change, and why?
Transcribed Image Text:#1 | impact and impulse-momentum principle. This is a particle impact problem. You MUST solve this problem using the particle A ball of mass m, is dropped from the vertical height h above a resting wedge block of mass mp with a triangular top of angle 0, see Figure. At time t= 0, an impact occurs at point C at a distance d away from a rigid wall on the left. Assume coefficient of restitution e for all impacts. To answer the questions below, use the notations below. Let the velocity of the ball right before the impact be üb1 = -Vp1y],Vp1y > 0, and its velocity right after the impact be īb2 = Vp2xī+ Vbzyj. Let the velocity of the wedge block right after the impact be üp2 = Vp2xi. Let the magnitude of the impact force at C be F, and the magnitude of the normal force from the ground be N. Use the impulse momentum principle and the given set of variables to answer the following questions. Note that you MUST use the shown x-y coordinate system. Ignore friction between all surfaces. Write down two impulse-momentum equations, one (a) for the ball and one for the wedge from t = 0 to 0*, and identify all impulsive forces. (b) Explain if any momentum vectors in (a), or their components, can be considered conserved. d h (c). Let h= 0.8 m, d = 0.5 m, mp=1 kg, m, = 0.2 kg, e = 0.75, and 0=25-deg. Find üp2. C 'Let t = t1 be the time when the rebounded ball off of (d) the wedge block first hits the wall. Find the distance traveled by the wedge block at tiı. If there is friction between the wedge block and the (e) ground, will your answer in (b) change, and why?
Expert Solution
steps

Step by step

Solved in 5 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer