if w= i – j + k and r = i – 2j + 3k?
A car moves along an uneven horizontal surface with a constant speed at all points. The normal reaction of the road on the car is 1. NA=NB=Nc=N(d) 2. Nc>ND>NA>NB 3. NB>NC>NANB 4. Nc>ND>NB>NA
22
Oct
A car moves along an uneven horizontal surface with a constant speed at all points. The normal reaction of the road on the car is 1. NA=NB=Nc=N(d) 2. Nc>ND>NA>NB 3. NB>NC>NANB 4. Nc>ND>NB>NA if w= i - j + k and r = i - 2j + 3k? What is the value of linear velocity [...]
Figure shows a light rod of length l rigidly attached to a small heavy block at one end and a hook at the other end. The system is released from rest with the rod in a horizontal position. There is a fixed smooth ring at a depth h below the initial position of the hook and the hook gets into the ring as it reaches there. What should be the minimum value of h so that the block moves in a complete circle about the ring?
22
Oct
Figure shows a light rod of length l rigidly attached to a small heavy block at one end and a hook at the other end. The system is released from rest with the rod in a horizontal position. There is a fixed smooth ring at a depth h below the initial position of the hook [...]
A simple pendulum having a bob of mass, m, is suspended from the ceiling of a car used in a stunt film shooting. The car moves up along an inclined cliff at a speed v and makes a jump to leave the cliff and lands at some distance. Let R be the maximum height of the car from the top of the cliff. The tension in the string when the car is in air is:
22
Oct
A simple pendulum having a bob of mass, m, is suspended from the ceiling of a car used in a stunt film shooting. The car moves up along an inclined cliff at a speed v and makes a jump to leave the cliff and lands at some distance. Let R be the maximum height of [...]
A nail is located at a certain distance vertically below the point of suspension of a simple pendulum of length 1 m. The pendulum bob is released from a position where the string makes an angle of 60^∘ with the vertical. Calculate the distance of nail from the point of suspension such that the bob will just perform revolutions with the nail as the centre.
22
Oct
A nail is located at a certain distance vertically below the point of suspension of a simple pendulum of length 1 m. The pendulum bob is released from a position where the string makes an angle of 60^∘ with the vertical. Calculate the distance of nail from the point of suspension such that the bob [...]
A stone of mass 1 kg tied to a light inextensible string of length L=10/3 m is whirling in a circular path of radius L is a vertical plane . If the ratio in the string is 4 and if is taken to be 10 m/sec^2, the speed of the stone at the highest point of the circle is
21
Oct
A stone of mass 1 kg tied to a light inextensible string of length L=10/3 m is whirling in a circular path of radius L is a vertical plane . If the ratio in the string is 4 and if is taken to be 10 m/sec^2, the speed of the stone at the highest point [...]
A stone tied to a string of length L is whirled in a vertical circle with the other end of the string at the centre. At a certain instant of time the stone is at lowest position and has a speed u . Find the magnitude of the change in its velocity as it reaches a position, where the string is horizontal.
21
Oct
A stone tied to a string of length L is whirled in a vertical circle with the other end of the string at the centre. At a certain instant of time the stone is at lowest position and has a speed u . Find the magnitude of the change in its velocity as it reaches [...]
A particle of mass m is attached to a light string of length l, the other end of which is fixed. Initially the string is kept horizontal and the particle is given an upward velocity v. The particle is just able to complete a circle. 1. The string becomes slack when the particle reaches its highest point 2. The velocity of the particle becomes zero at the highest point. 3. The kinetic energy of the ball in initial position was 12mv^2=mg 4. The particle again passes through the initial position.
21
Oct
A particle of mass m is attached to a light string of length l, the other end of which is fixed. Initially the string is kept horizontal and the particle is given an upward velocity v. The particle is just able to complete a circle. 1. The string becomes slack when the particle reaches its [...]
A heavy mass is attached to a thin wire and is whirled in a vertical circle. The wire is most likely to break 1. when the mass is at the highest point 2. when the mass is at the lowest point 3. when the wire is horizontal 4. at an angle of cos^−1(1/3) from the upward vertical.
21
Oct
A heavy mass is attached to a thin wire and is whirled in a vertical circle. The wire is most likely to break 1. when the mass is at the highest point 2. when the mass is at the lowest point 3. when the wire is horizontal 4. at an angle of cos^−1(1/3) from the [...]
A circular road of radius r is banked for a speed v=40 km/hr. A car of mass m attempts to go on the circular road. The friction coefficient between the tyre and the road is negligible. 1. the car cannot make a turn without skidding. 2. If the car turns at a speed less than 40 km/hr, it will slip down 3. If the car turns at the correct speed of 40 km/hr, the force by the road on the car is equal to mu^2/r 4. If the car turns at the correct speed of 40 km/hr, the force by the road on the car is greater than mg as well as greater than `(mu^2)/r
21
Oct
A circular road of radius r is banked for a speed v=40 km/hr. A car of mass m attempts to go on the circular road. The friction coefficient between the tyre and the road is negligible. 1. the car cannot make a turn without skidding. 2. If the car turns at a speed less than [...]
A car of mass M is moving on a horizontal circular path of radius r. At an instant its speed is v and is increasing at a rate a. 1. The net acceleration of the car is towards the centre of its path. 2. The magnitude of the frictional force on the car is greater than Mv^2/R. 3. The friction coefficient between the ground and the car in not less than βg. 4. The friction coefficient between the ground and the car is theta = tha^-1 v^2/Rg.
21
Oct
A car of mass M is moving on a horizontal circular path of radius r. At an instant its speed is v and is increasing at a rate a. 1. The net acceleration of the car is towards the centre of its path. 2. The magnitude of the frictional force on the car is greater [...]