then during the impact
A coordinate axis system taking x-axis as horizontal smooth floor is shown in figure. Two small balls of masses m and 3m attached with a string are released from some heights on y-axis as shown in figure. The balls may collide head on or obliquely. After a certain time mass m is at (9cm,20cm) while mass 3m is 25cm above the x axis and the strings is taut. The balls always remain in x-y plane. Find the length of string.
24
Sep
A coordinate axis system taking x-axis as horizontal smooth floor is shown in figure. Two small balls of masses m and 3m attached with a string are released from some heights on y-axis as shown in figure. The balls may collide head on or obliquely. After a certain time mass m is at (9cm,20cm) while [...]
A ball is released from rest relative to the elevator at a distance h1 above the floor. The speed of the elevator at the time of ball release is v0. Determine the bounce height h2 relative to elevator of the ball (a) if v0 is constant and (b) if an upward elevator accleration a=g4 begins at the instant the ball is released. The coefficient of restitution for the impact is e = 2/3.
24
Sep
A ball is released from rest relative to the elevator at a distance h1 above the floor. The speed of the elevator at the time of ball release is v0. Determine the bounce height h2 relative to elevator of the ball (a) if v0 is constant and (b) if an upward elevator accleration a=g4 begins [...]
A 5 kg sphere is connected to a fixed point O by an inexistensible string of length 5 m . The sphere is resting on a horizontal surface at a distnce 4 m from O. sphere is given a vertical velocity v0 and it moves freely till it reaches point p, when string becomes taut. Find the maximum allowable velocity v0 , if impulse of tension in string is not to exceed 6 N s.
24
Sep
A 5 kg sphere is connected to a fixed point O by an inexistensible string of length 5 m . The sphere is resting on a horizontal surface at a distnce 4 m from O. sphere is given a vertical velocity v0 and it moves freely till it reaches point p, when string becomes taut. [...]
A stream of glass beads, each with a mass of 15 gram, comes out of a horizontal tube at a rate of 100 per second. The beads fals a distance of 5m to a balance pan and bounce back to their original height. How much mass (in kg) must be placed in the other pan of the balance to keep in pointer at zero?
24
Sep
A stream of glass beads, each with a mass of 15 gram, comes out of a horizontal tube at a rate of 100 per second. The beads fals a distance of 5m to a balance pan and bounce back to their original height. How much mass (in kg) must be placed in the other pan [...]
A small ball thrown at an initial velocity u directed at an angle theta equals to 37 degree above the horizontal velocity U by v towards ball after collision with the wall the ball return to the point from where it was thrown neglect friction between ball and wall that time to from beginning of motion of the world till the moment of its impact with the wall is 1
24
Sep
A small ball thrown at an initial velocity u directed at an angle theta equals to 37 degree above the horizontal velocity U by v towards ball after collision with the wall the ball return to the point from where it was thrown neglect friction between ball and wall that time to from beginning of [...]
A body of mass 1 kg moving with velocity 1 m/s makes an elastic one dimesional collision with an identical stationary body. They are in contact for brief time 1sec. Their force of interaction increases form zero to F0 linearly in time 0.5s and decreases linearly to zero in further time 0.5 sec as shown in figure. Find the magnitude of force F0 in newton.
24
Sep
A body of mass 1 kg moving with velocity 1 m/s makes an elastic one dimesional collision with an identical stationary body. They are in contact for brief time 1sec. Their force of interaction increases form zero to F0 linearly in time 0.5s and decreases linearly to zero in further time 0.5 sec as shown [...]
A smooth ball of mass 1 kg is projected with velocity 7 m/s horizontal from a tower of height 3.5m. It collides elastically with a wedge of mass 3 kg and inclination of 45∘ kept on ground. The ball collides with the wedge at a height of 1m above the ground. Find the velocity of the wedge and the ball after collision. (Neglect friction at any contact.)
24
Sep
A smooth ball of mass 1 kg is projected with velocity 7 m/s horizontal from a tower of height 3.5m. It collides elastically with a wedge of mass 3 kg and inclination of 45∘ kept on ground. The ball collides with the wedge at a height of 1m above the ground. Find the velocity of [...]
A small steel ball A is suspended by an inextensible thread of length l = 1.5 m from O. Another identical ball is thrown vertically downwards such that its surface remains just in contact with thread during downward motion and collides elastically with the suspended ball. If the suspended ball just completes vertical circle after collision, calculate the velocity (in cm/s) of the falling ball just before collision (g = 10 ms^−2).
24
Sep
A small steel ball A is suspended by an inextensible thread of length l = 1.5 m from O. Another identical ball is thrown vertically downwards such that its surface remains just in contact with thread during downward motion and collides elastically with the suspended ball. If the suspended ball just completes vertical circle after [...]
A small ball is projected from point P towards a vertical wall as shown in Fig. It hits the wall when its velocity is horizontal. Ball reaches point P after one bounce on the floor. The coefficient of restitution assuming it to be same for two collisions is n/2. All surfaces are smooth. Find the value of n.
24
Sep
A small ball is projected from point P towards a vertical wall as shown in Fig. It hits the wall when its velocity is horizontal. Ball reaches point P after one bounce on the floor. The coefficient of restitution assuming it to be same for two collisions is n/2. All surfaces are smooth. Find the [...]
Two identical smooth balls are projected from points O and A on the horizontal ground with same speed of projection. The angle of projection in each case is 30∘.The distance between O and A is 100m. The balls collide in mid-air and return to their respective points of projection. If the coefficient of restitution is 0.7, find the speed of projection of either ball (in m/s) correct to nearest integer. (Take g = 10 ms^−2 and root 3 =1.7)
24
Sep
Two identical smooth balls are projected from points O and A on the horizontal ground with same speed of projection. The angle of projection in each case is 30∘.The distance between O and A is 100m. The balls collide in mid-air and return to their respective points of projection. If the coefficient of restitution is [...]